Is my transmission repairable?

My 2001 Honda Accord has about 140,000 miles on it, and except for some dents and scrapes (and a needed front-end alignment), it is in pretty good overall condition. My daughter was driving it in California for a few years and has now returned it to me. I notice that the automatic transmission lurches at what I estimate to be the transition between 2nd and 3rd gear ... or maybe it never kicks into second gear at all. When I am starting out from a full stop, the car begins moving forward smoothly, but as it accelerates, there is very little response to the accelerator after a while. Then, suddenly, there is a "clunk" and it jerks forward a little, then proceeds at a higher speed. The transmission fluid level seems to be fine. I am hoping that I don't have to replace it with a whole new transmission to deal with this problem. Is there a less expensive way to do it, and if so, how much should I expect to pay? I live in a medium-size city in the U.S. south.

Thanks ...