Sony A7 Series (Mirrorless Full Frame) has everything you need/want and much more. Even the first generation body will not let you down. If you have the spare cash, get the 3rd Gen body as it has more advanced autofocus and low-light capabilities.
Depending on which program you use on your computer, you can configure it to automatically download the photos from the camera and wipe the SD card when connected via USB cable (wifi is usually quite slow to transfer large files especially video).
It has features that let it set up as a wifi hot spot a phone app that previews. It works but its really user unfriendly and a pain to use. Hopefully they've gotten better.
https://www.dpreview.com/reviews/canon-eos-70d/8
I had a friend that used to use (maybe still does) a sd card with wifi to remotely access the pictures from a phone. That seemed to work pretty well.
(My sideline is video, and three S1's would give me pause.)
I am looking for the above, to not have to "manage" yet another device, and dedicated cameras do need some management, especially when back from a trip, so transfer photos, share photos, empty memory, etc.