Under Article I, Section 2 of the U.S. Constitution, a person must meet three qualifications to serve in the House of Representatives: be at least 25 years old, have been a United States citizen for at least seven years, and be an inhabitant of the state they will represent when elected. The House’s own overview states the same three rules in plain language.
Those are the only constitutional qualifications for House membership. The Constitution does not require a member to live in the same congressional district they represent—only in the same state—and it does not add wealth, education, or party tests. Changing the age, citizenship, or inhabitancy rules would require a constitutional amendment.
Source: U.S. House of Representatives: The House Explained
Image: United States House of Representatives chamber, public domain (U.S. House of Representatives / Office of the Speaker of the House), via Wikimedia Commons.