Hello, and welcome to Cameralabs.
I haven't any experience of your specific model but I do have a Fujifilm F-11 for backup purposes. I think it's a great camera. Very well built and it gets shots in low light conditions other cameras at the price couldn't match. From what I've read of the F-31 it's pretty much the same deal, only more so. I think you'll enjoy the camera and get a lot of great shots.
Coincidentally I also had a Dimage before the Fujifilm, in my case it was the Z1. I only got the F-11 because I dropped the Z1 and it broke. I claimed on the insurance and bought the Fujifim. In my opinion the Fujifim is a superior camera to the KM model in every way, apart from zoom range. Actually the zoom range on my Z1 was largely irrelevant as I couldn't reliably hand-hold at those focal lengths anyway.
I know you're going to like the Fujifilm F-31.
Various lenses, SB800 & Manfrotto 190 with 460MG head