You will need:
2 Skeins Kitchen Cotton - this will make 2 potholders
#7 knitting needles
yarn needle for weaving ends
#8/H crochet hook.
Using 2 strands (hold them together and knit like it was one strand), cast on 25 stitches.
Garter stitch (knit every row) 48 rows, slipping the first stitch of every row (See video). This will give you a nice smooth edge. Bind off, leaving last loop on the needle.
To create the loop for hanging the potholders, transfer last loop to a #8 crochet hook and chain 12 stitches. Cut the yarn leaving about 6 inches and tie the ends through the corner of the potholder. Weave in the ends.
Gauge really isn't that important in this pattern. For me this ends up being about 7" by 7.5".
A note for beginners about kitchen cotton:
Kitchen cotton is a little bit tougher to work with in that it doesn't stretch like acrylic or wool. Don't worry, you will get used to it quickly. Also, it is normal to see black/brown specks in the yarn. This is just the cotton seed.
My personal favorite is Lion Brand kitchen cotton. It is sturdy, reasonably priced, and comes in a variety of colors.