G,day Fellas. It is my first post here, so be gentle

I have just bought a Saxon 150mmx1200mm reflector for my daughter and I to use. It comes with a 20mm and 10mm eye piece. How much shorter length eye piece can I effectively use with this scope to get closer views of planets without going over the scope capabilities?
I dont mind spending a bit more to get better quality, without going straight to a TV Ethos etc.