Congrats on conquering DPN's!
What I usually do is cut the yarn so that there is a tail about a foot or so long. Then I thread it on a tapestry needle and thread the yarn through the stitches on your needles. Then you can take the needles off and the stitches won't become undone. Pull the yarn nice and tight; if there are few enough stitches and they are close enough together there won't be a hole. And then just weave the end in.
If you don't mind a hole in the middle, or even want one, you can bind of normally.