Selling a project....one deal for everything or part-out?

On my end of the globe, I still alot of snow so, its not yet the spring fever at all over here :(

I got a question.
I got a 1971 Plymouth Duster and its a project, not a hard one, but it still need to be put back together.

I got alot of new parts from year one, goodies, spares parts etc...

I'm wondering if selling all the new parts and spare and then selling the car as a roller or cheap project could help recover more money then selling everything in one big package?

What you guys think?