I will Give you my 2 cents, as a canon shooter for over 20yrs and have moved to Fuji. If sports , or video is one of your interests, go canon, any thing still, I found Fuji to have canon FF image quality with better, beautiful color. We can all argue that, that is my findings, but there is also other things to think about.
With the Canon 70d/80d, you have auto mode, with scenes modes, Fuji they have just a A on body, and A on lens for auto. Also canon has a built in flash, the Fuji xt1/xt2 you need a external flash. My cheat list would be
More beginner, user friendly, scene modes with built in flash - Canon
Moving things - Canon
Video - Canon
Portraits/landscape, anything non moving - Fuji
Image quality- Fuji
Size/smaller - Fuji
Lenses, the Fuji 18-55 is one of the best kits lens available, along with used 35 and 50mm going for under $400, all solid with metal mounts.
Best bang for the buck for me is a used Fuji XT-1, fredmiranda sell forum has them for around $500, body
Just FYI, I started trying a Fuji xe1->xe2, also x100->x100s->x100t, and have settled on a Fuji xt1, with a 18-55, and 35mm, Nissin i40 flash, sold all my canon stuff two years ago....
Anyway, just my opinion and findings,