Fairy Kei, if you like pastels. It can involve shorts and pants and not just dresses and skirts, so if you're a bit of a tomboy, you make be interested in that.
Lolita uses a lot of the motifs you mentioned (Bunnies, cats, puppies, confectionary, flowers, alice in wonderland). These motifs can be found in many different lolita substyles, like sweet, classic, sweet classic, country. There is also a sailor lolita and punk lolita. If you like vampires, you might want to try gothic lolita, with combines well with punk lolita.
If you think lolita is too much for everyday wear, you might like otome, which has no "real" definition, but is similar to lolita, just more toned down...no petticoats, no dresses with crazy prints (prints will be there, but they'll be more calm). Otome tends to mix subtle neutral colors like black and brown and grey with bright pops of colors like red or yellow.
Mori girl is a woodland-themed fashion, so if you like bunnies, flowers, etc, you might like it. Mori girls also love cute sweets jewelry too, like the stuff from q-pot. Mori girl is also one of those fashiosn that uses a lot of skirts and dresses, but can include pants as well.
If you like darker, slightly creepy things, you might like Dolly Kei. The colors are usually jewel tones and the accessories tend to have an eerie, antique feel (like masquarade masks, doll head necklaces, bottle necklaces, rings with dark colors jewels.)
hope this helps~
