I'm an old hand at it so I just use hammers and punches/chisels to remove the bearings. I like fire and ice too when things get tight. I did grind the ID on one when I had access to an ID grinder at work. I rarely use it though. I would put it together with all the same shims that are in it now. Do that and see where you are at. Take the obvious precautions when you install the differential in case the gears are tight. You might just need some small side-to-side adjustments. I know that sounds too easy but that's where I would start. If things are looking way off measure the pinion depth. It's amazing how a crusher spacer will be right with multiply gears sets in the same housing.