Use myetherwallet to store your erc20 tokens, it allos almost all tokens from ICO's, and it is very easy to use, i use to store all my coins in there, and it works perfectly, i can manage my money very easily, i sugest it to you.
Or just hold some part of your coins on bittrex as you just said, but maybe it is a little bit risky, maybe one day you would be hacked and you will probably lost your money, so better to store all your coins on myetherwallet.
so should i just use this? is it okay to store big amounts?
my pc just broke and i am new in this world. but iwanna invest on some altcoins because a lot of people say that i will be able to earn a lot with them.
so is it okay to use cp even when i want to put big amounts of altcoins in my wallet?