If a vengeful wizard banishes me to another dimension, it will be because I have done something to spite him. I will most likely have done this intentionally, because the bastard sure deserves it.
I would most likely not be able to bring anything with me, because a wizard has no mercy. A wizard would most likely send me with just the clothes on my back and the shoes on my feet, and I would be on my merry way.
I would be transported to some place in Northern Switzerland in a small, rural mountain community. I would be taken in by the friendly inhabitants of said village as a lost traveler, and set on my way. I would work as much as I could in such a place to keep a roof above my head and food in my belly, and probably would take in with a family that would be willing if I am not able to raise enough money to buy a house.
As a previous commenter has said, it was not that people were getting poor food, in fact, the food they ate then were free of all this artificial, processed crap we are being fed today, and were eating much better than we are today (at least in America. I will hopefully know enough to stay away from their doctors, and just hoping beyond hope that I do not catch any sickness, because I will be very miserable and unable to work.
If the villagers do not choose to take me in and cast me off as a spy, I will be forced to live in the wild by myself. I will try to trek through what I can in the hopes of finding another village, but if I cannot, I'm pretty much screwed without much basic survival skills. If I manage, somehow, to supplement my diet with fruits and berries and the occasional animal, that is, if I don't get poisoned by something I prepared poorly, I will continue a nomad-like lifestyle, carrying a burning stick and maybe some coals if I can manage to my next destination.
I will fashion for myself a bow out of animal's hide and a stick, sharpening arrows on rocks to bide my time, and maybe fire harden a couple of spears to throw at a passing deer. I'll find myself a nice cup, maybe a rock, and customize it to my liking. I will have to conserve my energy along the way, resting frequently. It will be a hard life, but I may have a chance of making it through.
This was a very interesting question; thank you for asking it! :)