If you can check the post well, then you will see that the OP didn’t mention storing coins on exchange, all the OP needs is an appropriate exchange that can be used for trading. I know how risky it is to leave a coin on exchange. The best place to leave a coin is a non custodial wallet, but as we can see, the advice you are giving the OP is not what the OP really needs. You should be advising the OP, maybe if he made mention of storing coins on exchange.
And I will say the exchanges which the op mentioned are really good one’s, so the op can just select one of the exchange and be using it.
Emphasis on this particular bit:
Used to be super active but got burned by most of the old closures (Cryptsy, btc-e, Bter, etc)
For instance, Cryptsy and btc-e are exchanges which abruptly shutdown along with their users money -- FBI seized btc-e to be more precise. Hence it's a sound theory to say OP may have lost time and money amidst the controveries otherwise, why say they got burned by the closures.
Discussions are not always black and white. There are gray areas where we can read between the lines and form theories in order to further flesh out the discussion.