Windows remote desktop is one of the best for responsiveness and display quality, but the machine you are connecting into has to be running at least windows pro. Android app is well designed and easy to use.
Team viewer is also quite good for responsiveness and quality, and is easy to get connected without mucking about with ports and ips. Not sure If team viewer has an android app but id be surprised if it didn't.
Vnc will also work, but this is a big more sluggish. I've used both ultra and real. The real Vnc app on android is pretty well designed, similar to the remote desktop app and can connect into an ultra Vnc server no problem.
All that said, at the end of the day, coding from a touch keyboard is a pain in the A. Would not recommend it.
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