For making remote connections to a Mac from an iOS device, there's probably no solution out there that's better than Parallels Access. Version 3.0 of Parallels Access has just become available -- both the iOS app and the Mac companion app -- and for those of you with Apple Watches, there's now a new Apple Watch companion app.
Here's the word from Parallels on the new version:
I tried out the Watch companion app and found it to be interesting, although somewhat limited in usefulness. It is nice to be able to check availability of a remote Mac with a tap on the wrist, and setting up a connection with another tap is priceless. But the real power of Parallels Access comes with the remote control and Universal File Manager functions that are available only in the iOS app, and those have been improved dramatically.
For anyone already using Parallels Access, this is a no-brainer upgrade.