I got my fingerprint cards done last month. I went to local county sheriff office with fingerprint form printed on A-4 sheet white paper.
Technician there helped me with fingerprints and whole process took around 15 mins.
They charged me $5 for all this.
Mailed my FBI form and fingerprint card to Fbi last week
When you go to sheriff office, Take your passport and driving license, as they need 2 proofs of identity, atleast in NY state.