Good ideas. Thanks!

I'd cut muslin blocks (or a background color of your choice -- solid red and/or blue?) about 15" square. Then use the suggestion to spray baste the blocks to the background fabric and buttonhole stitch them, using your machine. You'd protect the beauty of the "finished" blocks you have, they'll float on the background fabric so size differences won't be as noticable. What fun you'll have. The finished blocks will make a lap throw about 45x60 before you add borders. If you can find a couple fabrics similar to that in the blocks then sew a narrow (maybe 2") and a wider 4" border in another color. A narrow black border on the inside would be a great way to have the colors stand out too. The blocks will tell you want they want you to do.

I would applique them on to squares the size of the largest one , put a sashing between them and sew them together into rows, put a border on it, quilt it up, bind it and call it done. Washing and drying after it is done will hide lots of things. Just my opinion.
By the way, the pieces are great.

How many block do you have? I would pick out my favorites and applique them (by machine, using a blanket stitch) to a background. All in a row and hang them. You might do two (2) of them and stagger them on the wall. They are nice blocks.

The way you have them laid out in the picture, that's how I would just sew them down onto a nice colored background. I'd keep the edging as is....and put a nice back, border, and edging....to match! they are gorgeous

I've made several double wedding ring quilts. To turn these into a DWR is probably more effort than its worth. As long as they don't have sentimental value, set them aside and forget about them. In a couple of years if no one has come forward that wants to play with them or use them for something else, then pitch or donate.

I'm a newbie so it looks overwhelming to me!

lay them out as you have in the pic. draw out the middle add 1/4 and sew them together. do the same for the corners and make it a square.

You can applique it to a piece of materia.
good luck. I know it will be wonderful.
no don't cut them up.

Thanks for all the suggestions everyone. I've got some ideas rolling. I think there are 27 complete units, so I could try a variety of things. I don't think I'll make a big quilt, maybe a couple smaller projects. Okay, y'all have convinced me not to cut them up. I'll post pics if I ever get around to actually doing things with them.