I’ve been to Baku and just applied as per the application on the embassy website. Can’t remember the details but had to send my passport off for a couple of weeks. Baku itself is quite nice in the main areas of the city, the main area is quite attractive with plenty of restaraunts and bars. If you get off the beaten track into the sidestreets its really run down, real Borat stuff, and get outside of the city its pretty bleak. Lots of very attractive women walking around draped in designer gear, so pretty good for people watching if you’re sat in a cafe having a beer or coffee. I was warned that there is a petrochemical smell in the air and a rainbow sheen to the water as it laps up onto the shoreline, but I didn’t notice that. Sorry I can’t be more specific on the visa application process, but from what vague recollection I have it was pretty straight forward once you sussed out what you had to do.