As much as I'd love to do all that you just mentioned... Living near Salt Lake City, UT, all the fire departments/ambulance services don't hire EMT's very often at all. Because of the high call volume anywhere within 40 miles around here they mainly hire AEMT's and Paramedics. EMT's around here kind of have to work the crappy jobs before even being considered at a department. Things like event centers, rural ambulance services, or odd jobs like corn mazes and theme parks.
Once you have some experience in those, you either get your Advanced (or are already in training for it), or hopefully get hired on at a Fire Department and work for them while getting your Advanced.
I am moving to a more rural area soon, so after this corn maze deal, I'll probably be able to get some real work. Sucks, but I'll keep applying to Fire Departments and ambulance services and hope I get some luck and snag one of those good ones, and not have to work the crap jobs forever.