Good question. Depending on the size of your gap would really determine if veneers (or lumineers) are the best choice for you.
If it's a small gap- I would look at finding a dentist who "specializes" in doing aesthetic bonding procedures. Ask to see examples of a space closure (called a
diastema" in dental terms). I do space closures all the time on teeth simply using additive bonding. Additive bonding means you don't need a shot because no tooth is filed down or removed.
If it's a large gap- you might want to look at having veneers done. As a rule of thumb, the larger the space, the more teeth you might need to have veneered to close the space (and still keep teeth looking naturally proportioned). I am not a big fan of lumineers in general though. The cases that I have seen have tended to look un-natural and bulky. Just my opinion though. For this reason, I worked with my master ceramist to create a no-Prep veneer that looks GREAT. Here are some photos





