Transferring a balance doesn’t make it go away! So it would still be there, impacting your credit report! I’m glad you’re on track with double the minimum — but did you remember to pay double the ORIGINAL minimum every month — NOT THE NEW MINIMUM — to get these cards paid down in three years or less!
The more you pay, the quicker the balance disappears. Consider it a race — till the end of your old car! Can’t you do some odd jobs or something to put more money toward the balance so at least one card is gone before your car breaks down!