If the rifle allows, bore sighting works very well. I do this in my shop with a target 40ft away. On rifles that you can't bore sight I use a relatively cheap laser bore sight tool.
It's important to check the base alignment if one is used, it should be collamated to the bore centerline. At least check rings with a lapping tool to ensure they are round and have no burrs. If you don't have experience with tightening small screws I would invest in a Wheeler Torque wrench or similar tool.