With the House preparing to vote this week on whether to repeal the health-care law, the chamber's new Republican majority is confronting a far more delicate task: forging its own path to expand medical coverage and curb costs.

The House's GOP leaders have made clear that they regard the repeal vote, scheduled to begin Tuesday, as the prelude to a two-prong strategy that is likely to last throughout the year, or longer.

They intend to take apart some of the sprawling law, which Democrats pushed through Congress last year, piece by piece before major aspects of it go into effect. At the same time, Republicans say, they will come up with their own plan to revise the health-care system, tailored along more conservative lines.

On the cusp of undertaking this work, the GOP has a cupboard of health-care ideas, most going back a decade or more. They include tax credits to help Americans afford insurance, limiting awards in medical malpractice lawsuits and unfettering consumers from rules that require them to buy state-regulated insurance policies. In broad strokes, the approach favors the health-care marketplace over government programs and rules.