Well that's a little different!
I personally have never had to move our BTA, however my wife has once, and the advice that she (And the person I originally got it from) gives is to do it slowly and carefully. She put on a plastic glove (Like saran wrap) to avoid constant stinging, and very slowly pried it off using a stroking motion (Get your minds out of the gutter everyone)
According to the fellow I got the anemone from it took him almost an hour to get it off of it's rock.
At any rate, that's all I've got, hopefully someone with more experience can also help. Remember also to acclimatize the anemone to the new tank exactly as if it was a new tank inhabitant.
Good luck,
Rob