I heard that Coinbase is a pretty good online wallet but they only support Bitcoins, Ethereum and Litecoins. They do have a marketplace though so you can trade easily but with online wallets, there are some security disadvantages.
If you're interested in having your coins secure for you to "hold" then I believe you will be interested in the Ledger Nano S. It's about $70 but it holds your coins physically on a device that looks like a usb drive.
If you want to use mobile app wallet, Coinomi is a good cryptocurrency wallet for mobile phones, either ios or android, it doesn't have desktop wallet yet, only mobile and it is pretty good because I use it.
Coinbase is a good entry level wallet, we have a number of uses who use this website. They also have their own exchange called GDAX, so I mean if you are already using Coinbase, then that's pretty good. Unless there are other currencies you are wanting to get into?