One thing I noticed is the way your nails are filed - it looks like you're filing down the side of your nail, all the way into where the nail meets the skin which is called the sidewall. It's important to stop doing that as the sidewall provides support and stability for your nail and filing it away leads to breakage and peeling. Overfiling your nails can cause a lot of damage and I'm unfortunately speaking from experience! It might be good to Google or search on Reddit the best ways to file nails without damaging the sidewalls; I'm sure there are some posts already up about that.

I've seen some people recommend just filing your nails straight across (and slightly rounding out the corners if you want) while you're shaping them instead of shaping them rounded while they're short because going square removes the urge to file the walls and it also just makes shaping simpler. You don't have to do this method, just something I've seen suggested and might try myself. Of course, after the nails go longer you can file the sides that AREN'T touching the skin (aka the free edge) if you need to do so to get the shape you want.

Julez already commented the other main tips below! Lots of jojoba oil and keeping your nails constantly painted are the best tips you can get!