I've had laser removal multiple times and still having some, not sure what kind of laser surgery is available in different places of the world, I'm in the UK and currently having it done by photodynamic laser removal, my skin is the exact same underneath, can't even tell it was there at all, not even the slightest pigment change & I had one removed on the side of my face and it's completely gone, to the point my skin is exactly as it was, the laser used on mine is what's used by the NHS to remove things like birthmarks etc
The process was long, pricey and painful but worth it, however if you can avoid it, then I say avoid it, cover up or just in your case, give yourself some time to adjust to what you're seeing, I'm head to toe in tattoos and everytime I get a new one I cry for a few days like I don't like it but I suffer anxiety so I know it's just because of that, the ones I'm removing are being removed because they're on my neck and the artist fucked up big time and I'm getting something different once it's done
I did have a different type of laser done at the beginning and it wasn't budging after a while and was more tough on the skin, it was the thermal treatment, was cheaper but more damaging once I did the research
If you do go ahead with laser, just do some research first and on the companies because all will do anything to get your money, that's how I fell into the first trap and remember you get what you pay for, just like with tattoos
But the main point is give yourself some time to settle into your new tattoo, by the time it's healed enough to start laser, you'll know if you're okay with it or not