+1 for the Logitech remote. I use the Logitech Harmony Smart Control, it's a good size, nice and sleek with plenty of buttons to customise (but not too many like some of the others). It is a little pricey at £65, but you can probably find it cheaper.
The Logitech "activities" allow you to perform multiple actions, for example the media button I have setup to turn on TV, wake the NUC and activate my amp, the remote from then on in this mode can be used to control all 3 devices. These can be a little fiddly to setup but not too bad and is only a one time thing. You can also set it up so that a key press maps to a keyboard shortcut allowing apps to be launched. I have Plex pinned to the task bar and have mapped the shortcut 'Win+1' to my chosen key on the remote so that I can start the media client or just leave windows loaded if I am browsing. You could load a media client automatically on the activity load so that it is all ready to go from 1 button press.
Also the Logitech Wireless Touch K400 keyboard is great to use with the NUC, again quite small and has a mini track pad, good for browsing the web etc. Costs about £25 so a cheaper option, out of the 2 for me the keyboard is what I would recommend, the remote control is a nice to have.
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