For the money I don't think you would go wrong with a sander from Harbor Freight, especially if you wait for it to go on sale. I cannot speak about the 1" model, as I do not have one, but I did purchase one of their 4"x36" belt sander / 6" disc sander combo units a few years back. Paid a whopping $54 for it on sale. It isn't a great machine, but for the money it's not bad. The only real drawback I've seen with it is that it is a little low on power, but that is easy to work around.
There are better units out there, but with a significant increase in price. I figure I can burn up two or three of the cheap ones for the price of one real good one.