I haven't seen cup grease on the shelves since the early '60s, and it isn't easy to find old fashioned wheel bearing grease any more either. I bought some drum brake wheel bearing grease from Chaffins, and it is perfect for the grease cups too. For the U-joint cup, I use light chassis grease, and I've only seen it at NAPA lately. The new chain stores have everything all sealed up so you can see whats in the cans! BTW, the brand of wheel bearing grease Chaffins sells is StaLube.
I use a grease made by Hydrotex, it is a synthetic grease and rather expensive. It comes in a tube for a grease gun, and I used the grease gun to fill my cups, it is much cleaner than taking it from a can. I started using Parasyn grease about 30 years ogo because I had an articulated tractor that I could not keep grease in the main hinge U-joint for more than a few hours. it was a pain to service that joint, and when I switched to parasyn, the service time exceeded the 8 hour recommended interval. I have used it on everything even though I am probably just throwing away my money. The number of failed bearings dropped dramatically when I started using this grease, although the cost of bearings probably did offset the cost of the grease, the lost time during repairs more than made up for the extra expense. I figure that just because the original Fords used the poorest quality lubricants is no reason to do so now when there are some superior lubricants available.