1. Short title This Act may be cited as the Helping More Families Save Act . 2. Family self-sufficiency escrow expansion pilot program Section 23 of the United States Housing Act of 1937 ( 42 U.S.C. 1437u ) is amended by adding at the end the following: (p) Escrow expansion pilot program (1) Definitions In this subsection: (A) Covered family The term covered family means an eligible family enrolled in the pilot program established under this subsection. (B) Escrow allocation The term escrow allocation means an account awarded under this subsection for which the awarded eligible entity shall use to create escrow accounts in accordance with paragraph (3). (2) Establishment The Secretary shall establish a pilot program under which the Secretary, through a competitive process, awards escrow allocations to eligible entities to establish and fund escrow accounts in accordance with this subsection. (3) Escrow accounts (A) In general An eligible entity awarded an escrow allocation under this subsection— (i) shall establish, on behalf of each covered family, an interest-bearing escrow account and place into the account an amount equal to any increase in the amount of rent paid by the family in accordance with the provisions of section 3 or 8(o), as applicable, that is attributable to increases in earned income by the covered family