I'm going against these comments I know, but as far as I can tell, the majority of hand-quilters use some sort of hoop or frame so that the tension is right. It's a very personal thing, and you won't be able to tell which you prefer until you try. 10" is actually very small for a hoop, the usual size is 16" or 14" if it's round, or something equivalent if it's rectangular. I use a 17" x 11" Q-snap myself. If the hoop is too small, you don't have much of a workable area inside, and if the hoop is too big, you may not be able to reach comfortably around it (and I'm 4'11, so this is an issue for me). I also thread-baste, I find that pin-basting gets in the way of the frame.
I gather you don't hand-quilt already? Do remember that while you can get to a reasonable standard quite fast in some cases, it's not something where you can just make it up as you go along and it will look perfect from the first stitch. You will need to learn, your stitches will be odd at first, and so you should put a spare bit of fabric and batting together, find a good book on hand-quilting (or video tutorials, or get someone to teach you), and see how you get on with it. Remember that even once you've learnt, your quilting stitches may look different from those already on the quilt. (I've been quilting for about three years, and my stitches are much smaller and neater now than when I began, or how they were a year ago.) If you put a ruler to a line of quilting on this quilt, how many stitches on the top side are there to the inch?