A potential Moon base would count on direct strikes by very energetic meteorites being extremely unlikely.
I think there would need to be a complex early detection and warning system, capable of intercepting high speed objects, well beyond what we consider normal terrestrial speeds. Being lazy, I'm tempted to just say "why not some lasers, maybe?" and shrug, but maybe there are some cooler options possible?
Seems like a pretty unexplored deficiency of moon habitation.
But, wouldn't less meteorite crashes happen at the poles? Would that be the safest base location?
http://www.wired.com/images_blogs/wiredscience/2011/09/lunar...
And by movable, not in "left-right" but "up-down". I think is easier to deflect a blast if the base move up, instead of try to run...
Alternatively - mobile moon bases, and be super ready to spot space debris.