Before moving anyone, wait until players at the old table complete any hand that they are on, and move the button first. Then, when the button is moved, the button will be in front of a player, someone will be in position to post the small blind, and someone will be in position to post the big blind.
Now, if you need to move someone to balance tables, take the player who is supposed to be the big blind out. The next person in line (UTG like you noted) now must post the big blind. However, the button and small blind don't move, because they were already moved after the last hand, and they haven't started the next hand yet.
There should be very few circumstances where you are moving someone to balance and where the old table would lose its big blind and have a dead small blind. Usually, if you try to balance tables and you think there should be a dead small blind at the old table, you are doing something wrong.
Hope that helps.
K-Lo