Embroidery on knitting...?

you could try duplicate stitch/swiss darning embroidery

the 2 links below show how it is done

http://www.studioknits.com/bookpage55.htm

http://www.embroidery-methods.com/creative-knittin...

Personally, I have used a simple crocheted chain stitch -- done right through the knit item -- for years. It's worked from the front. Hold your yarn behind the piece and poke the crochet hook through the knit item to pick up the yarn. Leave a long tail so you can tuck it in later. Pull the loop through the knit item, and then poke your hook through another stitch and bring it up again. Play with it to see how many stitches to use and to skip. Crocheting through every second one or every single one both don't work. I usually do two or three and skip one. See what works for you. Feel free to email me if you have questions. I don't think I explained it very well, but it's a technique I have been using a good while.

a monogrammed stockinette stitch is probably the best

http://knitting.about.com/od/afghanpatterns/p/stoc...