It is better to store your coins in a wallet. Once a trading platform is hacked say goodbye to your beloved coins. Though having your coins in an exchange is quite advantageous too, let's say the price of the coin suddenly went up, you can easily trade it. Having it in your wallet, it will need quite some time to be confirmed and during this time price might have already dropped.
If you're in with holding the coin for a long time, store it in a wallet, and just trade it whenever you're ready or you really need to.
Store in wallet and exchange is depending on how we will use the coin.
From your point, it depend on long or short term trading. So i think thats right so please use the platform depending on your need.