Are you looking to do a 1031 tax exchange on an investment property? Or are you looking for someone to trade their home for your home?
These are done differently and may not net you the desired result. A face to face consultation with an agent will answer the details of both of these.
You do not need to trade your home for another home directly to make this happen. If you are doing a tax savings exchange it must be done properly and in a very specific way and timeline. As for your own home, I wouldn't limit how the trade happens as you cut down your buying pool and are restricted to a certain home.
I have seen house trade websites from time to time. I do not know how valid and fruitful they are. I would advise you to proceed with caution on those.
All the best to you.