Congratulations! Vegetarianism might not be easy for those of us who grew up with the conveniences of fast food. If you can stick to it, you'll be much healthier and feel so much better. Once I gave up beef, it took a while to get used to, but I stopped craving it.
Personally, I do like the BK Veggie. Subway also has a veggie patty sandwich which is very similar. You'll find a vegetarian choice at most major chain sandwich places (Quizno's, Togo's, etc). In desperation, I've ordered a cheeseburger with no meat from McDonald's - they call it a vegetarian, but it's not on the menu of course.
Don't feel bad for going to those places and ordering meatless. In fact, you're letting them know that people want more vegetarian choices.