What Is The Procedure For Removal Of Anal Warts?

I am due to have surgery soon for removal of anal warts (GP used a mediacal term (2 words) for this) and im worried and have a few questions. Firstly how will the surgery be done, i.e which method, 2, how long will i have to stay in hospital and finally as i had the warts frozen sometime ago - are my previous sexual partners at risk of warts or have they already got them in incubation from sexual acts such as rimming, ( sorry dont know how else to describe that).
Im a 20 year old gay male