Unfortunately, I can't really share what nail polish I used to get the base pink-peach color because I actually used two sheer nail polishes to create it. I started with a coat of a peach nail polish that had too much orange undertones for my liking (it's an Asian brand - The Face Shop - if you're interested but I doubt it's still in production). It's relatively sheer so I let it dry and then did one super thin coat of Revlon Pink Cafe nail polish (I've used this a couple of times in previous nail looks). This nail polish starts off being pretty sheer and "jelly" like (if that makes sense) which allowed me to layer the two colors without having one totally block out the other. I'm definitely pleased with the end color.
Once I let my base color dry, I created half moon shapes with my a pale pinky white nail polish. In retrospect, I would have done this layer first THEN painted on the pink-peach color because it was pretty hard to make the rounded curves this way around especially because my pale pink-white nail polish brush (a Julep polish) was super fat and not made for tight corners. I think a white would have made this layer stand out more (I actually did use a white polish for my pink nail which you can see in the photo above and it made that layer look like BAM so much more obvious. It depends on the look you're going for I suppose. While this layer was drying, I used a dotting tool dipped in that same pink-white lace color to draw half circles to create that "lace" look adn then used aother dotting tool dipped in white nail polish to create polka dots around the half circles or on the pink-peach base area. This part was tricky because I tried making some dots INSIDE the half sphere space but it wasnt very large so not sure if it made the look better or worse.
After that, I just drew on the flowers by having a small puddle of a hot pink (Sally Hansen Hot Magenta) and light pink (Sinful Colors Easy Going) and using a dotting tool to mix the too a little before placing the tip on my nail and creating a circle of swirled color that looks like a rose. Using a toothpick or a thin dotting tool, I used a green color that I created by blending Essie Mojito and Sally Hansen Emerald Express. I wouldn't suggest this and would advise just getting an actual dark green color because Emerald Express is a glitter polish but it was the only dark sort of green color I had and I wanted to tone down Essie Mojitio.
Anyways, I'm not sure if this post was terribly helpful but hopefully the pictures were inspiring or fun to look at if anything. Please excuse the dryness and wrinkliness of my cuticles and palms by the way! :) Feel free to leave a comment below with any questions, suggestions, or requests!