Starter

I am pretty sure I need a new starter. I am hoping someone could verify my diagnosis before I spend my funds on parts. I am kind of new to older cars, I am used to the computer telling me what to replace.

My 66 Dart 225 sat for 15 years before I bought it and I've recently started working on it. It's been starting fine, but the starter seemed noisy. Then sudden nothing but a click. The battery is new and just came off the charger. When I arch the terminals on the starter with a screwdriver I get a click but no spin. Should I replace the entire starter, or can I cheap out on a smaller piece of the starter?