In the case of personal residences, there are no provisions for "rolling the profit from one house over to a new house". That tax provision (Sec 1031) only applies investment properties - broadly stated, a 1031 exchange (also called a like-kind exchange or a Starker) is a swap of one investment property for another.
You may, however, qualify to exclude all or part of your gain. The exclusion is worth up to $500,000 (married filing jointly and otherwise qualify); if filing separately, the exclusion would be up to $250,000.
See Tax Aspects of Home Ownership: Selling a Home for additional details and the requirements for claiming this exclusion.
