I've heard of two methods of presenting the revolver for reloading, but there are two items that work well.
The first is to hold the revolver as nearly vertical (muzzle up) as possible to allow gravity to assist in removing the spent brass and as nearly vertical (muzzle down) to allow gravity to assist in moving rounds from the speedloader into the chambers.
The other is that rather than pulling the speedloader off and tossing it, just let go of it after it empties and let the frame of the revolver brush it off as you close the cylinder.
The two hand presentation, assuming right hand shooting, is to grasp the cylinder with your left hand from under the revolver placing some combination of your index, middle and ring finger on the right hand side and thumb on the left side. Push the release forward with the right thumb and transfer the revolver to the left had as the cylinder opens, pushing the fingers through the frame to hold the cylinder and revolver and rotating the muzzle to an upward vertical position. Some people then use the left thumb to push the ejector, others make a more positive move by slapping the ejector down with the palm of the right hand.
While maintaining the left hand fingers through the frame and holding the cylinder stable rotate the muzzle down. Use the right hand to drop and activate the speedloader. Release your grip on the speedloader with the right hand, grasp the grip and use your left hand to push the cylinder into place and index. The speedloader with be brushed off the cylinder as it closes and the revolver is brought up to acquire the target.
For left hand shooting just reverse the roles of the two hands and the use of thumb and fingers.
I prefer to use the one hand method to reduce moves. This is the same as the two hand method, but the revolver remains in the right hand and the left hand is used to drop in the speedloader or moonclip. The left index or thumb is used to eject.
Some of the top shooters use the two hand method, though it seems one extra step to me. They still manage to be three times as fast as I am.