I`d suggest look around, whats in the house that can be blunt and sharp and reused.
Bread knife, has a pointy end dont it and i am guessing sigsawish correct? But since your Young, hence smaller than the general zed.
what you need is a hatchet or some blunt improvised weapon like. I.e Vacuum stick, since its retractable, Solid metal ( if you fill it with sand) then you have a very durable weapon, if you can handle it.
Other than that i`d also suggest you read up on Survival techniques and general basic medical knowledge, know your body and its limits you know. Also a book for edible plants/ brush etc would be useful to have when or if shit hits hell of a new proportion.
Being smaller than the general zombie does present opportunities. I could probably just run around them if they're not extremely agile, thus not risking combat (And infection). I'll have to read on survival techniques, for sure.