So embarrased by my tattoos. What are my choices if interviewing for my first job?

Location? Short term cover up if possible. Arms? Neck? Longervterm laser tattoo removal but this will require about a year. If necessary investigate makeup cover up for immediate use .
Cover up. Many tattoos are acquired in the exhuberance of youth and sometimes under the influence of alcohol or a herd identity. You can cover up your tottoo as best as possible with proper clothing. Hopefully you didn't get one on your face or hands. I advise people, desperate to get a tattoo to put it in an inconspicuous place and not personalize it (will you still love sally in 2025?).