If you like Metamask for your Chrome browser, then have a look at this.
Metamask is finally available for IOS and Android.
https://medium.com/metamask/metamask-mobile-public-beta-a-feature-guide-and-walkthrough-9d01de7190ae
I tried it and it works very well. I particularly like that you can synchronize with the wallet on your chrome browser. Now we only need a few non-crypto applications to get mainstream adoption!
To try MetaMask Mobile today, sign up at https://mobile.metamask.io/.