How to decide which cards to stop paying?

I would look into Bankruptcy.

Chase and BoFa would be your best bets to stop paying, they will both settle for very low rates between 90 and 180 days delinquent. Citi, Amex and discover would be a little harder to settle.

Yes you can settle some accounts first and the others later, that is not a big deal. Good luck.

honestly most credit cards use the universal method were when you default on one, they will all raise thier interest rates on you. so frankly what is goin to happen is when you stop paying 1 or 2 the rest will all go up too.

With that high of a debt, however, I agree with Nascar and I would look into Bankruptcy. After you default, as love_my_things said all your rates will go up. Between thew new high rates, late charges, and over-the-limit fees, your debt will quickly skyrocket to around $150k (my guess) by the time they all charge off, you you will have to come up with around $70K cash to settle them. At least look into Ch 13, or Credit Counseling (which you have to try first before applying for BK).

chrys is right, be sure to check out all your options first there may be a better one for you. read up on the pros and cons of each of them before making a final decision. Sometimes bk is the best outlet when you have a massive amount of debt.

If you go through a settlement process, you will get socked with late fees, charges, charge offs, interest and all kinds of crap that will make that origional debt even higher so you have to work twice as hard to get a really good settlement to make it all worth it and sometimes when you get debt as high as yours they dont want to negotiate considering that they are so large. but people have and do everyday. but be sure to check into all the programs before you stick with one.

honestly that kind of debt i would throw in the towel and file bk if possible