HOH gives you a higher standard deduction, which means less of your income is taxable.
Am I Head of Household?
https://ttlc.intuit.com/questions/1894553-do-i-qualify-for-head-of-household
https://ttlc.intuit.com/questions/2900097-what-is-a-qualifying-person-for-head-of-household
If you qualify as Head of Household, when you enter your marital status (single or married filing separately) into MyInfo, and then enter your qualifying dependent, TurboTax will offer HOH as your filing status.
2023 STANDARD DEDUCTION AMOUNTS
SINGLE $13,850 (65 or older/legally blind + $1850)
MARRIED FILING SEPARATELY $12,850 (65 or older/legally blind + $1500)
MARRIED FILING JOINTLY $27,700 (65+/legally blind) ) + $1500 per spouse
HEAD OF HOUSEHOLD $20,800 (65 or older/blind) + $1850)