Right Hand Transfer go through the motions slowly with a stationary rope, I'd slide your hands down the sally instead of pulling it, but otherwise move your hands, and open and close them round the rope, as you would when ringing the bell. That way you can focus on the detail before doing it faster, and then with a live rope.
If your fingers are getting mixed up with the rope I suspect your hand is closing on the tail end much too late. There should be very little gap between both hands opening from the sally and the right hand joining the left hand on the tail end. Somewhere around waist level, and well before the bottom.
Both hands should work together and never go far apart, so the right hand closes on the rope as the left hand places it into it.
The angle of the hands is also important. As the hands leave the Sally the rope is coming out of the top of the hands, but they then turn forward so the rope falls over the front of the band where it's easier for the other hand to get hold of it.
Not sure how clear that is, it's much easier to demonstrate than describe. There's a description and pictures on p17 of The New Ringer's Book if you have a copy.
HTH