So where can I store ICO tokens that are built on Ethereum ERC20 Tokens
I know of Myetherwallet but its confusing to me.
I know you can send the ErC20 tokens to any Ether wallet, but where would i see the breakdown of how many I have in a wallet?
You don't really store your coins in myetherwallet, you store it in your Ethereum address which you ACCESS using myetherwallet, not the other way around. You see, myetherwallet only acts as an interface for you to access your true ethereum address. As long as you have your private key you can use different interfaces to access your coins.
I highly suggest you do research and learn more about Ethereum before you even start investing in ICOs.