There's some cold blues that get better and better with repeated and specific application. And others that work quite well with only one application.
Art's Belgian Blue from Brownells is one that doesn't work worth a darn right out of the bottle on a room temp barrel. But if given the right application it's supposed to be one of the better "cold blue" products. Check out this
LARRY POTTERFIELD VIDEO for the right way to use it. I've got some here and was going to use it but a chance to get in on a hot bluing batch came along at just the right time. So I'm still looking for a job to use the Art's Belgian.
If you would rather just use a basic cold blue that is crazy simple and looks really dark then I can heartily recommend G96 brand "Gun Blue Creme". It's been my Go To product for small parts and touch ups for quite a while now. It does help the depth of the color if I run the part under hot tap water but it goes on really black. Hint, apply and let sit for maybe 20 to 30 seconds THEN rinse off in hot water from the tap. Pat or lightly rub dry without a lot of force and then oil it. Now you can rub it somewhat more briskly and any excess color will come off. But it'll be nice and dark. I found that with any cold blue if I rinsed and rubbed away any excess too soon they did not get as dark as I'd like. But between Birchwood Casey's two options and the G96 Creme I found the G96 works better for me.