Working Fair Isle or stranded knitting on the right side of a Stockinette Stitch fabric is really easy and doesn't look or feel much different from working the knit stitch normally.
Following my pattern, you'll knit two stitches in your background color and two stitches in the new contrast color. To do this, you simply knit the first two stitches as normal, then knit the next two stitches with your contrasting yarn, beige in this case.
Adding in the new color is similar to joining a new ball of yarn at the edge of your knitting. Leave a tail for weaving in and simply begin knitting.