You’ve made a very nice job of your clock case.
I could recommend a finish, but much depends on your daughter’s preference as to how it will blend with her decor. I’m a big fan of natural and stained finishes (Oil and lacquer), but not so much in terms of paintwork, because there’s a risk of it becoming unfashionable as soon as the next colour scheme enters the equation.
Paint choice and options beg questions in terms of intended location and existing / future colour schemes. By all means sand seal using shellac, but primers and paint finishes depend on the desired end result my friend.