I'm using
https://neotracker.io/wallet since they opened the site and I have no problems with them. I can suggest them, you can get GAS there too. If you don't want to keep your coins in exchanges use one of these wallets.
I think neo wallet is simple, does not require gas for transfers and simple transactions. Sometimes for a few times it will be very difficult to sync to the network and this will make the wallet will not show the NEO
balance it has.