I like to use engine assembly lube by Mellings or Sealed Power. Another assemble lube for bearings and camshafts is Isky Cam lube. It's a molylube based hi-temp hi-pressure lube. I like to use motor oil on the rings and in the cylinders. Use the same brand and viscosity you plan on using when the engine is in use.
You can check piston to cylinder wall clearance with a filler gage like you would use to set valve clearance. The best way to check the cam bearings is to install the camshaft. Trial fit it with motor oil then use engine/cam lube for final installation. If it is to tight you will have to scrap the bearing till the cam fits properly. I have seen shops use a homemade tool that was a butter knife welded on a long rod. Another option is return the block to the machine shop and have then line bore the camshaft bore.
Probably one of the most overlooked is the big end of the connecting rod. The rod expands and contracts from the repetitive heat and cool of the engine. This can cause the bore of the rod bearing to shrink or become egg shaped cause improper clearance between crankshaft surface and rod bearing.