I, too, have thought the 1862 Colt Police is the prettiest cap n ball revolver out there.
I acquired my first ones at a local gun show ... the price was too good to pass up. My brother, the almost original Bad Bob was deep into the black powder world with all the trimmings at the time and every time we would shoot black powder he would be nearly drooling on my 1862's revolvers.
One of them had a rather short barrel that made it a real pocket pistol and the shortened loading lever made shaving a ring of lead off the ball rather difficult. Sometimes it was a real problem ... sometimes not. Thirty some years ago at Christmas, after the White Footed Thumper Inquiry, I gave the almost original Bad Bob the two 1862 Colt's. I padded them and packed them in a small box along with a couple of boxes of swagged lead balls. He was really puzzled when he picked up the box ... being so small and so heavy. When he opened the box and realized what was inside he teared up and was speechless for a while. I think he knew just how much I liked those two pistols.
Interestingly, Bad Bob's son mentioned to me a couple of weeks back that he thought the 1862 is the prettiest pistol, too.