I also use my 37" TV as a computer from across the room, which makes a wireless keyboard nice.
I have, however, decided that I will probably make a dummy battery with an inverter so I can plug it into the wall next to my couch, which is more economical than even rechargeable batteries. Frankly, it's not that I care if it's wireless, just that with a 1 year old boy running around, I'd rather not have cords draped across the living room, especially considering his penchant for grabbing all things electrically related and cord sized/shaped.
For the most part, we use the laptop, which is basically a home computer at this point, since the "top o the line" battery only lasts about 20 minutes under idle conditions. It stays plugged in at all times.
Regarding the mower, well, I see no problem with using a reel mower. I did it for 3 years in conditions ranging from crab grass to alfalfa/timothy grass and even a bunch of nettles and thistle in between. It's not really as hard as people think it is, once you get used to walking with your back straight. It really does train posture, though. You can seriously hurt yourself if you don't use them properly. Mine's a little worn out at this point, and could use new wood handles, etc. but the blades will sharpen with the first use of the season.