I used to have a Cuisinart burr grinder, (about fifty dollars at Bed Bath and Beyond) which worked fine, and you could grind a lot of coffee at a time, and the grind setting was adjustable. The first one worked for a year, the second one, I lost, somehow....
Now I use a cheap Krups, which works fine for my French press, but you have to pay attention when you are grinding so you don't over-grind. If you, usually, don't make a lot of coffee at a time, you won't have to grind for a long period, so the beans will not overheat, which is the main reason people choose to spend the money on a burr grinder. For one or two cups of press coffee, I have found no difference.
My French press is stainless steel thermal, and to me, the quality of the press, perfect timing, heating your milk to just below scalding, pouring the milk and pressed coffee at exactly the same time, so that both streams meet before they hit the cup, and having a couple of lumps of dark brown sugar cubes nestled in the waiting cup to melt under the stream, and good coffee beans make more of a discernible difference to me than an expensive burr grinder does for home use. I'm not really a coffee snob, I just like coffee my way.
