I too have made the switch from many years of Canon to Fuji X-T1.
I shot and owned every Canon digital SLR camera along the way to the 1 D/DS series in every version until the 1DX. I've owned most lenses in the lineup to the 600/4.
I currently shoot X-T1s with grips and the only lens I'd say Fuji hasn't released that I'd buy is a 300 or 400 2.8. I shoot with fast zooms, and with the recent release of the 100-400 they've got most of what you need covered, and covered well.
While I still have a lot of canon gear, I have not used it (or missed it) in probably 2 years. The Fujis are just so much fun to shoot with, and while you might work harder to get fast action with the Fuji, I would never go back. I have not used the X100s, XP series, or other Funi X cameras. If you're coming from a DSLR system, the X-T1 is a wonderful transition.
As was already mentioned, the X-T2 will be out later this year, but getting an X-T1 now doesn't mean you'll be lacking anything. You can pick one up in excellent shape for about $700. X-T2 is expected to include 24MP, and dual card slots. Other than that, it may be faster but again I don't think you can go wrong with an X-T1 today. Start on that lens collection, and if you get the kit 18-55 (~$200-250), you have a great starting point. The rest depends on what you shoot.
I worked for Fuji for a number of years, and contrary to what you might think as an employee, I was not particularly fond of any of their cameras until the X-T1.
As for the Sony comparison, I evaluated them as well as Olympus and others, but ultimately liked the Fuji strategic lens lineup better, and the X-T1 itself, and full frame was not a feature I needed when I wanted to move to s smaller overall package. Like any other system, your investment is in the lenses- the cameras will come and go.
Anyway, feel free to ask if you have specific questions about anything. Sounds like there's a few of us converts here.