yeah, re lotsa grease. I tend to cover the bearings, and rub it in with my (gloved) fingers, then just about FILL the cup with grease and press the bearings down into this. I'll coat the whole axle with a millimeter or so thick layer, then assemble it, after its assembled, and adjusted, I'll wipe off any excess that oozed out.
I generally use green 'marine' waterproof ball bearing grease, that I buy at a auto store (use the same stuff on boat trailer axles). I can't tell that apart from the $$$$ phil wood grease, or the park lube stuff.