In my previous vector art post, I tried this and was not as successful as I would have liked, but this time I think I figured out how to do it right and hence the transition outside looks much smoother.
However, since I can only get printer paper, the curves don't hold their shape as it would, if I could get my hand on thicker colored paper.
Didn't want to clutter the outside with too many swirls as it would detract from the quilled letters.
I discovered a way that, for me, is easier than sticking the strips on the outline of the lettering, which in my case always ends up making the word look crooked!! Click here for link to the tutorial.