If possible, chill your cake layers in the freezer for 20 minutes before assembling the cake. It makes them cold to the touch, which minimizes crumbing and makes them so much easier to frost and stack.
Spread about 1 Tbsp of frosting onto a greaseproof cake board or plate, then place your first cake layer on top of the frosting smear. This helps the layer stay in place as you assemble the cake.
Spread a thick, even layer of buttercream on top of the cake layer. Repeat with the remaining cake layers and flip the top cake layer upside down (cut side down). This makes it easier to frost your cake!
Once all the cake layers are stacked, spread a thin coat of frosting around the cake. Smooth using a bench scraper and/or large offset spatula, then chill the cake in the fridge (30 minutes) or freezer (10 minutes) until the frosting is firm to the touch.
Scoop about 1 cup of uncolored/white buttercream into a small piping bag fitted with an open star tip like a Wilton 1M, seal the top with a rubber band or clip, and set aside.
Color the remaining buttercream a light pink using a small squirt of gel food coloring. Stir until the frosting is evenly colored.
Use the pink buttercream to cover the chilled cake in a second layer of frosting. Use a large offset spatula and bench scraper to smooth the frosting. Place the cake in the fridge to chill while you color the remaining buttercream.
Scoop a quarter of the remaining buttercream into a small piping bag fitted with a coupler, seal the top, and set aside.
Divide the remaining buttercream evenly between three bowls, and color one of them green with gel food coloring. Mix in a tiny bit of pink gel food coloring to make it more of a muted green. This will give the cake a more cohesive look (color theory is so cool!). Scoop the frosting into a small piping bag fitted with a coupler, seal the top, and set aside.
Color one of the bowls of frosting a medium pink using pink gel food coloring. Scoop the frosting into a small piping bag fitted with a coupler, seal the top, and set aside.
Color the last bowl a deep pink using more pink gel food coloring. Scoop the frosting into a small piping bag fitted with a coupler, seal the top, and set aside.