Create line drawing in Photoshop

Maybe I shouldn't even be using Photoshop for this. Come to think of it, I probably shouldn't be using Photoshop for this. I'm guessing Illustrator? However, I'm more comfortable with Photoshop so maybe I can just stick with it if someone can tell me what I'm doing right/wrong and, hopefully, how to do it better.
I have a faint, hand-sketched drawing that I have made darker and impoved on with filters and the like but we want to print this on  canvas to be embroidered and really, the lines need to be waaay sharper and more precise. So I've been playing with drawing circles and erasing bitsm where circles can be used. But then I started playing with the warp tool and that madem the circles much more useable. Then I started drawing lines and warping THEM and the possibilities improved tremendously. BUT it is VERY slow going to draw a line or a circle for each and every bit and then warping it.

I'm really enjoying learning more in Photoshop but this project will take forever.

Is there a better way to do this???

You can see the bit I've already done in the top right corner.

Thanks SO much.

magda