GNOME - Very good support
Since version 3.14, the desktop has supported touchscreen gestures, which lets you get even more done with your touchscreen monitor.
- Question about multi-touch gestures in GNOME 3.14 on StackExchange.com
- Touchscreen Gestures in GNOME 3.14 release note
- Video Introducing GNOME 3.14
- Video GNOME 3.24 Full Touch Experience
Plasma - Decent on Wayland - It will tweaking yourself - to make icons larger etc;
Wayfire - The only wm that good touch support.
Also of course the applications you use.
- Chromium-based browser supports touchscreen on Linux for a while
-
Firefox v45 (2016) supports touchscreen on Linux (bugs 978679 and 1217515 have been finally fixed) but you may have to use environment variable
MOZ_USE_XINPUT2=1(see question Enable touch-scrolling in Firefox and bug 1268599)
To improve your experience you might want to try.
Touchegg is a multitouch gesture program, only compatible with X, that runs as a user in the background, recognizes gestures, and translates them to more conventional events such as mouse wheel movements, so that you can for example use two fingers to scroll.
Try GNOME - Best choice for now.