I feed the first roll past the mouth, then start the second roll. When I feel the second roll bump the first roll, I affix a section of 1x1" 'blue max' tape, made specifically for joining film bases, to the back of the films. The second roll continues, and pushes the first roll to the centre of the spiral.
I have also had sicess in winding the first roll on, and hand winding it all the way to the center of the reel, and then starting the second roll. I don't advance the second roll past the mouth of the reel at the end of the second reel so they don't run into each other.
I load with the films in a dark room. Wrestling with a changing bag would be too much for me in this 2x120's on a consistent basis.