Of course, there are several options. The most optimal one is balanced actions with your portfolio. it is necessary to buy and sell constantly moving on the waves of the chart. then you'll have a good profit.

If you're a day trader it will be better to stay your coins at the exchange site so you won't be left out or didn't miss any pump and dip so you'll have a good profit. But if you prefer holding it and just trade it when you profited then don't leave it at exchange site and store it in wallet especially a hardware wallet. Because when the site gets compromise all your coins will be wash out in an instant.

If you want to hold a coin for several years or more, I recommend using wallet, if that is eth or erc 20 then you should use myetherwallet, it will protect your property safely.

I am a trader so I let my coin in the exchange site, it helps me drilling rod easier, when buying and selling

If you are a trader then you should let your property in exchange, if you are a holder then you should put your property in the wallet, which will help your property safe, and exchange helps you easy liquidity

As long as you use Exchange that can be trusted or that has a high popularity you can just keep your money there. But if want to be more secure I suggest to use a private wallet just to anticipate something bad thing happened to your money.

Depands on total amount of money and your actions with it.
If it is small amounts, than it is okay to keep them on a good exchange.
Or if you are a trader, than it pointless to move money our of exchange.
But if you are just bought and holding it, better use wallets, it is more secure.

Choose wallet rather than exchange site, its more safe than exchanges.

The wallet is safer than the excange. If you keep cryptocurrency for a long time, choose a wallet.

never leave your coins for long span of time in exchange. by doing that, you are just risking your coins to get stuck with the exchange.