I have the Logitech keyboard and mouse and so do my kids. I absolutely love it. I can usually go three days before it needs to be recharged. Mine has a little cradle you put the mouse on and it charges.
The cradle is right beside the computer so usually when I get off the computer I simply put the mouse in the cradle and it charges very quickly. The keyboard has batteries in it and I have never recharged it and I have been using it for six months at least.
Once you get one, you don't want anything else. They are great!
Logitech both at work and at home (both mice and keyborads). Batteries last over a month for me. I love them, I hated the restricitons of chords, not to mention the eye sore that they are.