Hi, Barbara - as a Canon and Fuji X-T1 shooter, I picked up a x100T earlier this year for the purpose of having a small, easy to carry camera with me most of the time and couldn't be happier with the image quality and features. It's definitely a serious camera (not to be compared (or confused) with a compact or point and shoot), and takes some time to master. If you want something you can easily keep with you all the time and get excellent quality images, I would recommend it. Some have complained about Fuji raw files, but I find them superior to Canon for recovery of shadows and highlights.
I tried to find the best subject/composition comparison I had for the x100T and a shot with Canon L glass. The first is the Canon 24-105L, second Fuji:
Obviously lighting conditions are very different, but it's the best direct comparison I have. Here's a few more x100T images, most would not have happened if not for the convenience of carrying the Fuji:
Fuji X....BAAAAM! Renders way different than Sony.
Fuji X....BAAAAM! Renders way different than Sony.