I highly recommend the “Philips Norelco OneBlade Face + Body Hybrid Electric Trimmer and Shaver”. The attachment pictured on the Amazon link is the trimmer with skin guard. I recommended using it for the bulk of the work when dry, then hopping into the shower, lathering up, and giving everything a thorough pass with a good disposable razor. I like the “Schick Xtreme 3 Sensitive” for that. You want to do this in a hot shower so that your sack relaxes and you can tug the skin. That will give you smooth surfaces to shave.
Personally, I recommend shaving the taint while you are at it. Taint hair can help retain smell. Missed Wipe & Ball Butter is not a smell combo anyone needs when all they want is to go down on you.