Given the distance to any likely military manufacturing sites or bases with reinforcements (apart from the Moon), it would seem that one side or the other would end up with orbital superiority for a significant time period - and on relatively small radius bodies even a single spacecraft orbiting would be able to scan and track enemy forces in the open fairly regularly (although it could use thruster mass to try to surprise enemy forces using that regularity as a window to move between areas of cover).
With modern imaging equipment detecting recent changes to a location is easy, so "digging in" or otherwise trying to create hiding/defensive spots artificially is likely to expose rather than conceal, so in terms of moving through uninhabited locations it would mostly be moving from one natural hiding place to another - the shadowed inner rim of craters seems a common choice, although this may depend on the body in question and its surface features.
Depending on how well equipped/supplied the force without orbital supremacy is, one of their key strategic aims would presumably be to attempt to strike at the orbital spacecraft - some equivalent of SAM launchers, although probably single shot disposable fired remotely in some way (timed, remote controlled), as the location is likely to get pummelled shortly after whether it was successful or not.
In terms of the equivalent of urban warfare, this seems to depend on whether the miners are part of a rebel force or the economic "prize" being fought over by the two sides. In such a hostile environment even if they are not being targeted specifically, if there is nearby hostility the civilian casualties could rack up quickly. And it wouldn't be surprising for that to happen seeing as they are the only reason for military interest in the area presumably, whether defending them or trying to capture the mine (destroying it could presumably be done from orbit easily enough).
With the costs/infrastructure involved in delivering and supplying soldiers in such remote locations, it will only involve small elite forces rather than masses of conscripts. And they will be heavily loaded just with survival gear, limited ammo (whether it be bullets or batteries), etc., so the combat will be over quickly, unless the side without orbital supremacy is being secretly helped by the miners - which is going to be difficult to do without being caught.
Landing and recovering troops from these places is also going to be tough on the "invading" side - there are more options landing at least, as while parachutes would only work in some of the examples, in low gravity there would be alternatives such as a disposable jet pack to make a soft landing while allowing the inserting spacecraft to leave before it gets shot down, landing and taking off giving a big time window for it to be intercepted, but it would seem unavoidable if trying to recover troops. The alternative being to send enough spacecraft to take over orbital supremacy from the enemy force, and then send in troops supported by those spacecraft.
In terms of defending the miners, deploying unmanned video look out towers to monitor the approaches (and maybe remote controlled weapons emplacements as well) would be an option, combined with low aspect or even mostly underground bunkers around the perimeter to protect the soldiers against indirect fire during an assault - given the low gravity and in most of the examples lack of atmosphere/wind, such weapons would be very useful, especially with the assistance of a spotter relaying the results to the firer, and the bunkers would have similar weapons to counterattack with, resulting in a fire and move pattern for the attackers, unless they can fire from a naturally defensive location.
Assuming the above the attackers would want to take out the towers with detached units attacking from a different direction from the main thrust of the attack while using indirect fire to open a gap in the defensive perimeter before committing to an assault, allowing the remaining defenders to be flanked or attacked from the rear, possibly using civilian buildings as cover.