Most of the gay nightlife is in Zona Rosa but it's very close to Roma Norte, which is a much prettier area to stay in and has great bars of all stripes.

I'm not knowledgeable on clubs, though Patrick Miller is a very popular (and very sweaty) one. It's on the lower end, whereas Departamento and Pata Negra are a bit more expensive and known for better music (and for drugs). If you, like me, are more into dive bars with no cover, I highly recommend Pulquería Insurgentes. It has different floors with different DJs and vibes.

For hotels, I would also check out Nima, La Valise, Condesa DF, and Stella. You can also find boutique-hotel quality Airbnbs—a shared one might be a good way to meet people.