See Kai Run makes exellent flexible soes. Tsukihoshi makes excellent shoes! Stride Rite also has a lot of good shoes to choose from.
I spent a FORTUNE on good shoes for the first year of my son's walking career. I just think foot health is so important!
Now that he is a good walker, I feel I can skimp, a bit on shoes. He wears lots of crocs and sandals.
Keen makes great sandals for early walkers too.
You want good support with lots and lots of flexibility. Stride rite and nordstrom (I love nordstrom kid's shoe department for their choices and trained shoe salespeople!) will fit your child.
The other nice thing about Nordstrom is if you come back a week later with a receipt (or past that) and have an issue with the shoe not fitting correctly. They will change it with no questions.
Check out a nordstrom rack near you if there is one...great deals on excellent kid's shoes.
I really really really recommend getting good shoes for your early walker!