Simple, functional aprons can become part of the kitchen "uniform," even for little ones.
How-To
1. Cut two pieces of oilcloth. Main piece should be 23 inches long (11 1/2 inches at top and 22 inches across).
2. Fold larger piece vertically, wrong side out. About 1 foot from bottom, draw curve; cut.
3. Make 1-inch hem at top of pocket panel; sew to apron, leaving 1/4-inch seam allowance.
4. To create pockets, machine-stitch down front of pocket panel, about 1/3 of the way in from sides.
5. Sew 1 1/2-inch hem at top of apron. Trim curved edges of apron with bias tape, leaving enough extra at each end for ties; zigzag-stitch over tape to attach.

denverfabric.com is a great source for oil cloth.
I have had trouble finding a source for oil cloth - what is a reliable source?
a friend of mine made aprons like this for a girls cooking /cookie making party at Christmas but she used plastic tablecloths. really cute and we all felt special. very inexpensive. they hold up well.
This apron is super easy and super cute. I made one for my 2 year old "chef". It also works great for his crafting. You can find oil cloth by the yard at www.chasingbubbles.com