It is not recommended to hold Your coins on Exchanges, only those You are trading with as they can be hacked or there could be other issues like late Withdrawal. The use  of wallets is to  store, send  and receive digital currency or for shopping purposes.
There are many of them, I use Ledger Nano S.
Even if You lose it, You can always get backup and block  others to getting access to Your Cryptocurrency account.

It depends on your purpose. If you want to sell then the obvious choice will be the exchange. The pro's of storing your coin to an exchange is that you can immediately post a for sale and the security will be much higher compared to wallet. Most of the exchange has a google authentication for login and email verification that monitors every transaction. For wallets, you only have private, password and encryption. If you have multiple coins, accessing them can be a hassle because not all of them are listed on the same exchange. Its up to you to weigh your options.

I would rather open my wallet for every coin. In my opinion, if you just to hold a coin, it's safer than we keep it on the exchange site. More exchange sites are at risk of hacking. If the coins we store in the wallet then we can make a safety for our wallet. We can make sure all the safety facilities so that our wallets can not be hacked. You can read about how to secure your digital wallet through a thread that has been discussed in the forum a few days ago. But if you will use for daily trading then it is better you keep it on the exchange site because it is faster in the transaction process if you will do trading.

Safe option is wallet but sometimes if you have many coins and are not able to keep separate wallets for all of them, exchanges are also good option. But you have to be sure exchange is safe and update yourself, if the coin is still in exchange or not.

Exchange is way too vulnerable to hacking plus your coin activities is pretty much exposed, wallets are safer bet as you can chose which one works for you and encrypt it in your own liking, always stay safe

I think it's good to keep coins in an well known good exchange because they'll keep the wallets secured.but some exchanges take more time to withdraw coins. If you use a  hardware wallet , it's good to keep them in that wallet because it's more safe

In my opinion would be better to save the coins in the wallet because it is very safe compared to the exchanger. You can make it in myetherwallet, because there is a trusted website.

I can't say you should keep your coins in the wallet or exchange platform, but its depends on your own decision , mind you, you earn less when you keep your coins in the wallet but when into exchange there is tendencies that it can increase but that depends on the level of your risk taking. If you re a risk taker why don't you divide your coins and take part of it for exchange and remain part in your wallet, that's my view.

a good option, but if it is absolutely safe to have no one ever hacked, use this charm as a hardware wallet.