In most tournaments I have seen (and the way I prefer to play it)

If you move to another table, you cannot come in on the small blind, or the button. If you are seated where the small blind would be, you have to wait until the button passes you.

If you are moved to a new table in the middle of the tornament, you do not have to post a blind to start playing at that table, unless you happen to be seated at that position in the table.