[Dave B.]

'FastEddie' has given you the best advice so far. The big 'D' is certainly an under appreciated fishery, but to really enjoy it you'll have to get away from the more popular locations. As Gerry said the Flatbrook is about 30 minutes north of there, but don't expect to find the brookies he referred to in any numbers. By far the greatest population of trout in the Flatbrook is holdover stocked rainbows. They comprise over 90% of the present trout population, particularly in the mid to lower stream sections. There are also a very few smallmouth bass in the same mid to lower sections.
Just to the south of Worthington is the Paulinskill. This stream has an abundant smallmouth population along with a fair number of holdover stocked rainbows. Not too very far south of there is the Pequest, about 30 minutes from Worthington's campground area.
The Dunnfield Creek that 'thmyorke' mentioned is a designated 'Wild Trout Stream' which means Artificials Only, 2 fish limit at 9" minimum size. No bait of any kind allowed to be in your possession while on a WTS.
Finally, the black bear warnings are as mentioned completely legimate. Having camped in the area for decades as well as hunting and fishing the region for even longer, I've personally had literally hundreds of encounters with them. Those that frequent the various campgrounds in the region quickly become accustomed to seeking out food from campers, and as such they also gradually lose their natural aversion to humans. Keeping your foodstuffs properly secured will save you some aggravation and possibly the loss of your meals.
All else aside, I hope you have a great time and successful fishing!