I have a very off center mid-line that makes me very self conscious. (photo)

Veneers and lumineers can not solve this conservatively. Your best bet is to visit your general dentist , or better yet a cosmetic dentist first for a complete evaluation of your teeth , bite, and alignment then most probably after his analysis he will be referring you to an orthodontist, so they both work together to give you what you want.
veneers or lumineers can correct the midline within 1 milimeter, but for 5mm to 7 mm you need teeth movement through orthodontics! Lumineers are more limited vs fabrication of veneers to correct the mis aligned teeth, but both have limitations.

Hi:Veneers or lumineers will not help with the off center midline.  My suggestion is to consult with an orthodontist with regards to the midline issue.Best,Dr. Maddahi

Hi, thanks for sending your question. Based on my cosmetic experience and the limited evaluation showing on the photos you've send Veneers will not correct your midlines. Orthodontics will be most helpful in this situation. However we would have to evaluate the size of your upper and lower jaws in order to evaluate the best treatment options.All the best,