You can choose almost any colours you want1
One would intuitively say that a nocturnal being should have dark colouration of the fur/skin; however, if you look at some of the species at Wikipedia's list of nocturnal animals, then you will notice that while most of them have a darker colouration, several of them does not and, surprisingly, they may even have fairly white parts of their fur.
Choose colour based on environment
The major trend seems to be that the fur is matching the general colouration of their habitat, meaning that they won't stand out from the background neither at night nor at day. Exactly which colours they might have in order to not stand out highly depends on what they are trying to hide from and where they are active. E.g., tree living animals tend to have colours matching that of the bark or the underside of the foliage of their trees, ground living animals often have colours matching that of the light under bushes or near patches of bare dirt (quite few animals are green to match grass or leaves). Then, again, exactly which colours that "becomes a match" for the area they live in depends on the eyesight and colour vision of their predator or prey. As example, the wiki page on nocturnality points out that the reason some lions prefer to hunt at night is because their prey have fairly poor night vision.
And based on whom they interact with
Most mammals seems to have dichromatic vision; that is, they have only two distinct colour receptors which allows them to distinguish ca 10000 different colours (whereas our trichromatic vision allows us to see ca 10 million different colours). Birds, reptiles and amphibians may have tetra- or pentachromatic vision, giving ca 10 respectively 100 times more colours than we can see.
The evolution of colour vision suggests that the reason why most mammals are dichromatic is simply because the first mammalian ancestors were likely were nocturnal and burrowing and therefore did not need to see more colours to survive. Dichromatic vision is described to correspond red-green blindness, which can explain why red foxes does not stand out against the background for their prey - they simply look greenish to the animals they hunt, even though they are clearly red for anyone with trichromatic vision.
So in order to choose colours, you need to think about their lifestyle
Will your species hunt or avoid being hunted by something in particular? If so, what will that creature be able to see and what does the environment look like. If you want them to hunt or avoid an average mammal type of animal, then they get a wider range of colours available. If you, on the other hand, want them to avoid other humanoids with normal colour vision, then you need to make them generally dark with colours that matches their environment.
A quite good way to start finding good colours which matches environments (based on human trichromatic vision) is from the list of military camouflage patterns. However, if you look specifically for night colours, then you will notice that there is only the desert night camouflage listed as night time camouflage. The dedicated page for the desert night camouflage gives the explanation that the camouflage was developed for the night vision devices at that time, those clothes becomes obsolete with current night vision devices. There simply are no dedicated night camouflage clothes nowadays; the military instead use the standard uniforms at night as they still meld with the background and the current improvement is better IR shielding to hide the soldiers. The take-home message here is to select colours which matches the daytime background, as it will be matching the night time background too2.
What about the colour of their eyes?
Well, again, that depends. They will likely not have a particularly white sclera, or they will likely have very large irises. Humans are not unique with a white sclera, but most of the other animals which share that trait have an iris which covers most of the visible part of the eye. Regardless if the colour of their eyes comes from the sclera or iris, it is most likely that their eyes are brown, yellow or orange (as those are the most common animal colours); however, you can still choose whichever colour you feel is cool as the eyes likely are adapted to night time and, thus, will have so large pupils that they cover most of the visible part of their eyes while in darkness. They might have essentially only pupils too, but unless they can reduce the pupil size during daytime, then they will be highly troubled (or even entirely blinded) by bright light and likely not be out in the open during daytime.
Should their eyes glow if shone upon?
One thing you might want to consider is if they have tapetum lucidum in their eyes. The tapetum lucidum is a layer in the eyes, located behind the retina. It is highly reflective and is used to improve night vision by reflecting the light which hits the eyes; as the reflection causes the light hits the retina twice, it effectively doubles the available light for the eye. This is also the reason why animals seems to have glowing eyes if you shine a light at them during low light conditions. As an interesting bonus, the tapetum lucidum is different in various animals and therefore give their eyes different colour of the glow effect. Wikipedia lists colours of the glow as
White eyeshine occurs in many fish, especially walleye; blue eyeshine occurs in many mammals such as horses; green eyeshine occurs in mammals such as cats, dogs, and raccoons; and red eyeshine occurs in coyote, rodents, opossums and birds"
The addition of the tapetum lucidum is not really neccesary, you can give other reasons for their good night vision, but it would give an explanation to it and it would give them a cool glow from light sources (which, of course, might be a drawback for them as it can be used to spot them at night).
You can give a range of colours, as the explanation for a specific colour/pattern is highly depending on whom they need to be hiding from.
If they live on a savannah or in other open areas, then they are likely grey, light brown or beige.
If they live in forests, then they are likely darker brown, black, darker grey or green.
If they live in arctic climate, then they are likely white.
Shapes and patterns might be included if extra camouflage is needed (or if you find it cool).
Any colour which their prey (or potential predator) cannot see can be worn even if it, to us humans, is a mismatch to the colour of their environment.
Conversely, they might have other bizarre colouration or patterns if it helps them hide from enemies which can see more wavelengths than we humans can (e.g., IR and/or UV).
1: There are limitations based on which exact range of wavelengths they need to be hidden in. As example, if they need to remain hidden in IR or UV range (for whatever reason - they might need to hide from rocs, which likely can see in the UV range since they are birds), then none of the colours we can see matter, what matters is whether they can absorb/reflect IR or UV. A good example of this is found on Wikipedia, if you look at the figure in lower right corner here, then you can see that the colours of the person in normal light doesn't really matter if one uses IR.
2: Again, if you have any creatures that can detect IR, then you will need to have a colour/material which can camouflage heat, which usually does not influence which colours it has in the visual range.