If the home needs to be lifted off the foundation to level the house, the options for home foundation repair include helical underpinning and push piles. Although these are not as heavy as the concrete underpinning, they are more practical for clay soils and dry soils as well as for lighter residential buildings.
The home foundation company should offer a structural engineers report that certifies that the home is structurally sound with regards to the foundation after the repairs are complete. This will be important should you plan to sell the house as you will be required to disclose that foundation repair has happened.