Caryon, do you realize that if you have a higher resolution image, you wouldn't have to commission someone to re-do the art by hand, and can, instead, use the automated "Image Trace" tool in Illustrator. In a couple of minutes you would have a very nice piece of fully-scalable vector art?
Unfortunately, the image posted does not have adequate resolution, otherwise, I would have just done it for you gratis. That being said, below are some screen grabs from the process of automated conversion. Notice that even at this limited resolution, it doesn't do too bad of a job.
First, a screen grab from AI showing the "Image Trace" palette plus a small section of the image you posted. Notice the unresolved small details.