I have to admit, I'm really bad with UV mapping and when I believe I understand the basics, something weird always happens so if I try to map something oblong it still shows up as square in the UV editor. Either way, I decided to take a screenshot showing the persp view (the fur now *seems* to be on most of the body in the persp view), UV editor and a render with an automatic map.

If I need to do it manually, what's the best and/or easiest way to UV map a simple object like this one manually? Should I select the faces for ears, legs, arms, body separately and do cylindrical mapping on all of them?

Thanks a lot for your help!