WASHINGTON — Congress often waits for a new president to take office before it gets down to business. This year, Republicans will drop that custom in their dash to scrap the Affordable Care Act.

Within hours of the new Congress convening on Tuesday, the House plans to adopt a package of rules to clear the way for repealing the health care law and replacing it with as-yet-unspecified measures meant to help people obtain insurance coverage.

Then, in the week of Jan. 9, according to a likely timetable sketched out by Representative Greg Walden, Republican of Oregon, the House will vote on a budget blueprint, which is expected to call for the repeal of the Affordable Care Act.

Later, in the week starting Jan. 30, said Mr. Walden, incoming chairman of the House Energy and Commerce Committee, the panel will act on legislation to carry out what is in the blueprint. That bill would be the vehicle for repealing major provisions of the health care law, including the expansion of Medicaid.