Light TCA chemical peels (10-20%) probably won't do anything to a professional tattoo since they are deep in the dermis. A homemade tattoo is usually more superficial and deep both since you can't keep the needle at the same level as a professional machine can. Doing 4-6 TCA 20% peels at 2 week intervals will lighten a homemade tattoo but not remove it completely.
Lasers are so great at removing tattoos with almost no scarring that it is the only way to go. Stop peeling and go get the tattoo removed by a laser. You will be so glad you did.



