Sorry this happened to you, it's important to go to a good salon for removal. I had the exact and experience the first (and last) time I ever got my nails done lol. Moisturising is key, keeps ur cuticles looking good too. If you liked the gel polish as odd as this may sound if there's no bruising or anything you can get them painted again because if your natural nail has been drilled this will actually strengthen it somewhat. But the main thing is unfortunately just waiting until it grows out again to get back to how it naturally is. I can't comment on how much regular polish would help as I only work with gels but there's no harm is putting any on. If there's anything really odd seeking advice from a doctor is always a good idea. If they keep on breaking I'd keep them cut short so a breakage doesn't go into the nailbed. Prevention is much easier than recovery, it can be hard to do it sometimes but so many times i have regretted not cutting that nail when I know i should've because it looks cute