For a k1 p1 rib I like to cast on using the cable cast on for ribbing as described in Vogue knitting. (Point the needle through the last two stitches on the needle, alternating away from and toward you. Then for the first row only knit through the back loops for the knit stitches.) Or shown here as the alternate cable cast on
The best match for this is the k1 p1 bind off
using a needle. Both edges are stetchy.