I wouldn't transfer to the new account.
While it does raise your UTL it may drop your score since it is a NEW account. So you are tet for tat there.
Personally, I would pay the others down as much as I could before the next statement drops, that is usually when they report.
I would pay off the highest % card and stick in the sock drawer and only use the lowest % of the 4.
CCC's hate me I PIF every month they never get to make any money on me LOL.