I don't know if I've posted already, but here's what I know.
In adult circumcisions, a low and moderate style is the medical norm. The foreskin is shortened/removed to the degree that the head is always exposed (radical cut). The shaft skin stays completely intact and is sewn together with the remaining 2 to 5 mm of inner foreskin. Usually, it is accompanied by a frenuplasty to keep the sensation. The handling of the penis after surgery is the same as before - movable shaft skin but now without foreskin gliding over the head. Depending on if you're a grower or shower, it will be a bit more tighter or looser.
Everything else is a cosmetic procedure. Some doctors perform different styles but adult high styles usually don't lead to good results because the usually get very loose and saggy over time, lead to more problems like swelling and uneven scars and sometimes missensations.
Ultra tight styles (like some American, Jewish or Muslim circumcisions) are usually not performed in adults. Higher styles are also usually only done in childhood because the inner skin is more flexible and can adjust better than the shaft skin when the penis grows.
So while the internet suggests that there are many options (because there is a variety of styles done in childhood), an adult a circumcision is quite the standard procedure. The only things you could discuss is whether you want to have frenuplasty or frenulectomy and whether the doc can remove a little bit more of the shaft skin or keep most of it. You might also ask the doc if they have a photo of an example circumcision so you can see if their stitching technique is aesthetically pleasing (which would be my primary concern).
My suggestion is to not obsess over the style, it doesn't make a big difference in the end for your own perception, and concentrate on finding a good doc.
Hope this helps.