*ding, ding* You rang? :P
I can tell you what I use. I have A Logitech K250 that I use on this main system. Plus, I have a Logitech K340 that I use on my Linux rig. They are both wireless, have the slim USB dongles, and are great! I never turn them off, unless I take them along on vacation. Leaving them on 24/7, I had to change the batteries once since I bought it in early last February. Battery can last up to at least 6 months. Some people complain about the slow response in typing, but I am noticing none of this. Some recommend you have the adapter located in a spot where other wireless devices don't disrupt the signal. But I have my router about 6 inches above the case. Also have my wireless mouse, have many electric things around my computer, and it still works like nothing hit it.
I have used it in Desktops, notebooks, a wide range of OS's, and it still works great! Might not be able to use the FN keys in Linux, but not a need.
BTW, Logitech is my favorite. I have 4 x M305 mice, 2 keyboards, 3 headphones by them, Z4 and Z-530 speakers and a gamepad by 'em.