Jacking refers to raising or lowering a building so you can repair or replace defective framing or failed foundations or to level a house that has settled excessively. Shoring refers to a temporary system of posts, beams, and other structural elements that support building loads. Temporary is the crucial word: Shoring supports the building between jackings. Once repairs are complete, you need to lower the house and remove the shoring as soon as possible. If repairs are extensive—say, replacing foundation sections—have a structural engineer design the new sections; specify jack size; and specify the posts, beams, and bracing needed to safely jack and shore the building.
Jacking a house is nerve-wracking. It requires a deep understanding of house framing and how structures transfer loads. It also requires superb organizational skills and a lot of specialized equipment. For that reason, foundation contractors routinely subcontract house-raising to house movers who have crews who know what they’re doing and have on hand thousands of cribbing blocks, scores of hydraulic jacks, and cranes to lift steel I-beams for bigger jobs. Structural engineers will usually know qualified house movers. (By the way, these specialists are still called house movers even when the house stays on the site.)
