Comets are being discovered all the time, it would be difficult to be sure the ones you find ARE the most recent. Most comets are found by amateur astronomers, because they swing the 'scope around the heavens much more, while professional astronomers tend to focus mostly on one spot.
Here's hoping the websites listed already give you the answers you need.
Are you SURE they want the most recent ones? Or just a write-up on comets in general? They are an interesting topic indeed.
I don't have a functioning telescope at the moment (or the time) but husband & I are both 'into' astronomy. I was into astronomy almost from a toddler, some of the first books I read were about astronomy. And where we live now - we can fairly easily get away from Sydney's light pollution and see some amazing starscapes.
Marg