Very nice set!
Personally, I'd lean toward removing them from the acrylic protectors and mount the entire set in a custom made matted frame with non-reflective glass. (It would be one mat, but cut out in 10 individual places for the 10 cards. Maybe 2 rows of four verticals, and the two horizontals below?) Pricey? Yes. But as I said, it's a very nice set, and I think it would be worth it. As you said, it's you're favorite set - your Hope Diamond.
I would also suggest putting them in a place where the daylight won't fade them. If I can see the daylight reflected in the cards, so can Koduck/Quacker Oats and Mr. Demented Whatever-It-Is (who, incidentally, I've taken a real liking to.)