Great question. Hard to answer as every case (and every dentist) is different. Veneers are an option, but I would recommend starting with a full workup to know more information, and be open to the different options.
You may consider seeking a few family / friend referrals from people who have had aesthetic dental work. When you see a dentist, you should be able to request an aesthetic workup. They may take photographs, impressions / study models, and radiographs. After studying the case they may present a few options to you- not limited to veneers (possibly orthodontics- meaning braces or invisalign, etc.- depending on their findings). They may make a diagnostic wax up (a physical wax model of what ideal veneers would look like on your teeth should that be the treatment option of choice). They also may try a mockup (based off their wax up, they can place temporary tooth-colored material on your teeth so you can see what veneers would look like for you, and this can be removed quickly and easily). Likewise, they may modify a photo of your teeth digitally so you can have an idea what different treatment options would look like. Lastly, when considering orthodontics or invisalign, they may show you a set of images or a video of the proposed orthodontic progress of your teeth, and how it may look when finished with this treatment.
These aforementioned techniques are a great way to open a detailed dialogue between you and the dentist to relay your chief complaints (what exactly it is you don't like about your teeth), and to have a better idea regarding which treatment options may correct the different issues (such as the midline). If done with a few different dentists, you may get a better feel for who you are most comfortable with for this process.
Hope this helps.