I believe the best wallet for LTC is pollonix because you can keep it safe or exchange it to another coin.
I would suggest don't use any exchange for storing your coins, it's an exchange and not a wallet. You don't have any control in it so your coins is at risk.
Personally, I use coinomi wallet as it also have private keys and it caters variety of coins and it's supported by shapeshift.io and changelly so you can easily buy some coins.