Norma, what you are referring to is called an EXCHANGE. you would have to find someone who is willing to trade you for your house. Many exchanges are 2, 3, or 4 levels deep and VERY COMPLEX. It is not a casual encounter for even a seasoned real estate agent. There are exchange clubs that may have experienced professionals in your area. Also as an escrow company executive who does these types of deals in Magalia CA.
Also consult your tax professional. You can also do what is called a TAX DEFERRED EXCHANGE whereby you sell your home and then put the money in escrow until you find another home.