Its been a while since I stayed atany of the Pinehurst properties, but here's what I remember. The will definitely take you from one property to the other, and to any of the golf courses. Its probably best to speak with someone a little in advance, to make sure a shuttle is there when you need it, but they're always running back and forth. As for getting from the Manor to the Carolina, its no more than a 3 minute walk.
As for your clubs, you can certainly take them on the shuttle. As I remember it, you can surrender your cluibs when you arrive, and they'll magically show up when yu're ready to play golf each day, even if you're playing at one of the courses away from the main clubhouse. You might carry your golf shoes with you when you go for breakfast and change at the courses.
When are you going to be in Pinehurst? I'll be glad to recommend a couple of places to eat and drink if you're interested.