Peel and dice the potatoes. Cover with chicken broth in a pot.
Cover, and boil for about 30 minutes, or until tender.
Drain the broth and set aside. Save some broth to thin out your potatoes, if needed.
In a small saucepan, combine half and half, butter, & sour cream. Heat only until warm. Don't boil.
While cream sauce is heating up, mash the potatoes. (A whisk may be useful)
After mashing the potatoes, add in the cream mixture a little bit at a time. Stir between pouring.
Use the leftover chicken broth and/or half n half to thin out your potatoes to the perfect consistency. (Don't make it too thin, you want it to be thick enough to pipe, or sit on top of the cupcakes).
Add in seasonings a little at a time, and taste after each addition to make sure it's how you like it.