I bought a used pair of Jamo C803s (bookshelf version of the C809s) for my girlfriend's house. Of course, I played around with them myself for a while before giving them to her.

They held their own, easily, against other speakers I had on hand at the time.
The Jamo to Klipsch move would be a sideways move more than an upgrade.
Your room looks to be quite reflective. What is the flooring material? How big is that rug and how thick?