LtEve. I have lived a much more peripatetic life than you - my father was in the army and we were constantly on the move, but as soon as I get somewhere new, I join local organisations for interests I have whether, political, personal interest or educational.
I have made a few good and long lasting friends at work, but generally found I had little in common with them - and in one case when a new manager decided to take his 5 section leaders away for a two days team building exercise, I came to the conclusion, that I would dodge behind a wheely bin to not meet them if I saw any of them coming up the road in my direction. Luckily, we all headed very separate self contained teams and interacted very little on the work front, so I rarely saw them anyway.