New Big Dwarf is an OP type so yes, feel free to save seeds from it. All the "Husky" varieties (H Red Dwarf, H Red Cherry, Gold, etc) are hybrids. And yes, Better Bush is also a hybrid but is one of the 3 hybrid tomatoes I grow due to its growth habit, production, and taste. Keep in mind I went nearly 15 years w/out growing a single hybrid but two were recommended to me by a tomato guru some years ago and I tried them and have now stabilized one of them, growing it in my garden every year now; perhaps that might be something you might want to have fun with along the way also.
Keep in mind, if you want to delve deeper, that there are obviously some hybrids that are considered pseudo-hybrids and will come back true from saved seeds...but that's a whole 'nuther ball game/conversation.
As for peppers, normally you can expect grocery store peppers to be hybrids. However, peppers have also been known to come back true or close to true in some instances so who knows what you might end up with. If you're wanting to save seeds of peppers I'd recommend buying a packet of Chinese Giant and you'll be assured of stable seed stock (barring no cross-pollination, of course.)
Hope this helps!
Shoe (back to work sowing seeds!)
