We've used a reel mower for years. You really do need to stay on top of the grass cutting though, I need to mow 2-3 times a week. Not a big problem since our yard isn't much bigger than a postage stamp. It helps if your yard is nice and smooth, no tree roots or bumpy bits. Lately, I've had to share the mower.
Now, if only I could teach them to use it.

Now, if only I could teach them to use it.