Consider starting with three strings, especially if you want to fingerpick. Just remove the doubled strings. You can always add them back later on. I was given this advice when I first started and out of nothing but hubris, I resisted it, thinking that since I play 12-string guitar and mandolin the extra strings wouldn't bother me. But eventually (like 2 years later) I strung up my instrument with three single strings and loved the clarity of the sound. Some techniques (like hammer-ons and pull-offs) are easier with single strings and some (like bending) are virtually impossible with double strings.
Second, there are two resources for drone players close by: Strumelia's Mountain Dulcimer Noter and Drone Blog (which others have mentioned but not provided a link for) and the Old Style Noter and Drone Players Group here at FOTMD. You have to join the group to see all the posts, but you'll find lots of information and camaraderie there.
Third, have fun. Put the the instrument on your lap, find a melody that you like, and let your instrument ring!
Dusty T., Northern California
As a musician, you have to keep one foot back in the past and one foot forward into the future.
-- Dizzy Gillespie