I thought I'd share how I carry my Sony gear. I have the LowePro Photo Runner 100 (apparently, they're out of mica color) and it will hold my a7r + either my FE 24-70 or FE 16-35 mounted and the other one stored in the bag, my FE 55 f1.8 + FE 35 f2.8 stacked, battery charger, 4 batteries + 1 in camera, wireless remote control (I bought the 2nd one because it will also start/stop video) and a micro-fiber cleaning cloth. Misc. odds and ends such as the usb cable for the camera and the usb charger that came with the camera.
I have a Peak Design strap on the camera which works very well since it is so thin, it takes up very little room.
I can either sling the bag off my shoulder or with the built in belt, wear it around my waist, whichever is the most convenient at the time. I can also attach a small monopod or tripod to the bottom straps on the bag.
Everything in the photo below weighs in at about 6.6 lbs.



