I just realized I forgot to account for taxes and insurance for the car. Allow me to revise:
Second: Your car payment is currently costing you $26/month in interest plus $50/month (your estimate) in taxes and insurance. Your credit cards are currently costing you $78 + $66 = $144/month in interest. Unless the car is depreciating by more than $118/month $68/month (and since you won't tell us the year/make/model it's impossible for us to guess whether or not it is), it makes sense to pay off the credit cards first.
So, does a 2014 Kia Soul Exclaim edition with 55k miles depreciate more than $68/month? Somebody else will have to answer that, because I have no idea.
Of course, since you've now gone and paid off the first card, by the calculation above your monthly cost is a wash ($68/month vs. $66/month)
before considering depreciation. So now it appears that the next best thing to do is to get rid of the car.
Once that's done, all that remains is to determine how fast you can pay off the remaining card. Giro's suggestion to transfer the balance to a 0% card
might be a good idea. If there is no balance transfer fee, then it certainly is. However, most(?) cards have fees for the balance transfer. If we assumed that the fee were 4%, then it would only make sense to do the transfer if you were going to take longer than 16%/4% = 3 months to pay it off (note that number is a little off because I can't be bothered to account for compounding). Finally, if you
did commit to that fee, then we have to pay attention to the fact that the 0% rate typically lasts more like 12-18 months. Because of that, it's mathematically optimal to wait and pay off the balance at the last moment, while investing the money you would have otherwise used to pay it earlier. Pulling that off correctly requires discipline -- and for nothing to go wrong -- so it's a risky strategy.