ALWAYS pay down the one with the highest interest rate first, while making at least the minimum payments on the rest. Your utilization rate is not affected in a major way unless you close an account after paying it off - thereby 'losing' that available credit. That can make your utilization rate go UP. You just stop using that account - cut up the cards if you think temptation might be too strong - but do not close the account.
Once you have four or all of the five paid down to zero, then you can think about closing accounts. You should always know what your total available credit is and then you can manage your utilization rate and try to keep it below 10% at all times. If you think you might need to make a major purchase that could take your utilization rate past 30% or even worse, 50%, then you want as much available credit as you can get. having a lot of available credit doesn't hurt your score. Opening new accounts dings a score temporarily, but using them wisely and letting them 'age' helps your score tremendously. One of the several factors in a score is the average age of your accounts. If you only have a couple of accounts that are only a few years old, that is not great. But if you have seven or more accounts with an average age of seven or more years - that is something you see with people that have excellent credit.