Trust administration is the work of the successor trustee after the person who created a revocable trust dies. The trust becomes irrevocable, the successor takes over without a court appointment, and property titled in the trust passes under the document rather than through probate. The trustee gives the notices the state requires, obtains a taxpayer number for the trust, retitles accounts, pays debts and expenses, files the trust's returns, accounts to the beneficiaries, and distributes the property as the trust directs.
The Trust Settlement Plan lays those steps out for your state. The Trust Account Opening Guide covers the first practical step at the bank, the Post-Death Tax Filing Guide covers the returns, the Probate Decision Tool shows whether anything left outside the trust needs a court process, and the Trustee Compensation Calculator applies your state's standard for what the trustee is paid.