How far away would you accept a preschool to be from your house?

I registered my daughter for a preschool which is 10 minutes from my home because it accepted my deposit when I was pregnant instead of requiring my child's birth certificate like other preschools. I'm now doubting my choice and am looking for a kindergarten instead. A childcare doesn't seem like it can prepare my child enough for Primary 1. Therefore, I'll consider anywhere within reasonable walking distance from my place (~10 minutes) because my dad might have to send my child to and fro school.