i think you need more of a trash hauler/junk removal company than a handyman.
1-800-GOT-JUNK is one such company. a quick check of their site (
www.1800gotjunk.com) shows they service the area and you can book an appointment right on-line.
I have never used them, nor have any affiliation with the company, i've just seen their trucks around (and they have an easily remembered name).