I have a Bitcoin wallet through an exchange, can I have a wallet not attached to an exchange? or multiple wallets? if the exchange has problems = I have problems 
There are so many bitcoin wallet that you can use. One of it is the coins.ph. Coins.ph is an online bitcoin wallet in where you can keep you bitcoin and ensure that your bitcoin is safe and in good hands. Coins.ph is already tested to be legit and your bitcoin in here will not remain stagnant it can grow through making transactions.