How Do I Go About Becoming A Dump Truck And Heavy Equipment Operator?

I recently graduated college with a bachelor’s degree in Computer information systems. However, I have decided that the office corporate world just isn’t for me. Being confined in a building all day sounds like a miserable way to live.
Ever since I was little, I have loved construction equipment. I was never a girly girl, I loved my Tonka trucks and matchbox cars. I choose jeans and a sweatshirt over dressy clothes anyday. Even today, I still love driving by construction sites. I think it would actually be a fun job to either drive a dump truck all over the state (small state, NH) or to work in the dirt with an excavator, bull dozer, and any other heavy equipment!
I was wondering how one goes about entering this career path? Should I go get my CDL? How do you get training on these machines?