Don't know about names. But...

For easiest playing, try to find one with a nice progressive break on the keys. Some, you find that you press the key down and nothing happens, and down a bit more and nothing happens, then down a gnat's tail-feather and *BONG* the thing kicks out a fortissimo note! I'm sure this is great for honky-tonk piano where you don't play softly, but if you want to play loud and soft (piano-forte :-) then it's less than ideal.

Also, make sure that action is positive, so you can feel the hammers moving as you press the keys. Same kind of thing as choosing a computer keyboard really, how much weight you want on the keys, and it does come down to personal preference.

Play every key, and make sure it's OK. If there's buzzes or rattles, then something's wrong with the piano - this may be a split in the soundboard, so don't buy it. If there's thuds or the key feels odd, there may be a problem in the mechanism (hammer/keys loose, etc) which needs fixing.

Buying from a dealer is safer. At the low end price, the pianos will be old. After some time, the tuning pegs get worn out and start to slip. The only remedy for this is to spend lots of money putting wooden plugs in the holes and then redrilling all the holes - this is expensive. If you buy from a dealer, then you can go back and threaten them if the piano tuner tells you this - if you buy privately then it's your risk.

Graham.