Mr MM moved from Canada :)
I move regularly per housing costs. I mean, I move regularly for other reasons too -sheer fun, interest, learn a new language, whatever- and I end up with skookum deals most times. But yeah, I move to chase awesome shelter deals, too, because that's what makes or breaks my FIRE.
e.g., Move to current place was to snag a dream world at $500/mo. Now I'm moving out of the region in hopes of not seeing a jump to $2k/mo...or at least to get a much fancier lifestyle if I have to pay that much.
My best move is to find a perfectly good, unrented place, and make a pitch to the owner. No roommates and quiet and cheap for me; reduced insurance costs for landlord, income for landlord. Win-win.
I also love work exchanges, etc.