Tax Filing Simplification Act of 2022 This bill directs the Internal Revenue Service (IRS) to establish a free on-line tax preparation and filing service and allows taxpayers to access third-party provided tax return information and information held by the IRS. The bill prohibits the IRS from entering into any agreement that restricts its legal right to provide tax return preparation services or to provide tax return filing services. The bill requires the IRS to establish and operate programs to (1) facilitate claims for the child care and the earned income tax credits, (2) provide software for the preparation and filing of individual income tax returns for taxable years beginning after 2022, (3) allow taxpayers to download third-party provided return information and IRS-held information to their tax returns, and (4) allow taxpayers to elect to have their tax returns prepared by the IRS. The bill also requires verification of taxpayer identity and requires the IRS to conduct an outreach campaign to provide the public with information about this bill's programs and software.