The product I used it my very favorite oil rubbed bronze "look" paint. It's Modern Options Sophisticated Finishes in Blackened Bronze. I get mine at Michaels and its not in the craft paint section. It's in the metal paint section near the unfinished wood in my store. Call around before you drive around. It's super easy to use and a great deal based on how long it will last you. I've probably painted 100 things in my house with it (in addition to the hinges). Instead of replacing all of my shiny brass, I just painted it! This is there website so you can see all the finishes they have http://www.modernoptions.com/ and here is what the product/finish looks like (blackened bronze is on the left).
I prefer a "pouncing" or "stippling" method of painting vs. brushing, as it looks more textured with a natural or modeled finish vs. obvious paint stroke lines. If you want a flat finish you'll probably need two coats and a good brush. I literally use kids paint brushes from the dollar store (cut a little if they are too long to "pounce".
One replacing hinges note, my friend replaced her hinges vs. paint them and had a heck of a time with several doors closing weirdly once she replaced them (thirty minutes per door trying to figure out which hinge was making them close tilted).
Regarding the doorstops, I found that you can paint the door stops, but you need dark caps (and those cost just as much as new doorstops on ebay, so I just went the new doorstop route). That might change as time progresses and everyone starts needing new dark doorstop caps. I bought the same kind of door stops I had in the darker color, so I could just unscrew the brass and screw in the new ones super fast (no taking of the screw from the wall).
I also tried painting the door handle itself since I liked what I had, but it just chipped really quickly no matter what kind of paint I used (mine were shiny polished brass, I sanded an extra piece I had and painted it will primer and metal spray paint. I also tried metal art paint and enamel and none worked. Finally had to go full knob replacement. I did find a great affordable place in Dallas that I will share on a later post.