My active little girl loves to go to school (KV K1)too.
Regarding their homework, though her handwriting is a bit "ugly", in my eyes that's really accepteable for a K1 kid :)
Don't say that KV is very difficult. The kids don't feel that at all.
Most of the kids studiying in KV (and other Kinders as well) have a lot of extracurricular activities and interest classes arranged by parents.
So...that's not a problem.