A trick maybe you don't know about:
Five or six years ago, before LED bulbs were are popular and widespread as they are today, I had a couple of 110vac fixtures I wanted to use on my Peterbilt Motorhome conversion project. I intended to use these fixtures on my 12vdc system but I didn't want to have to convert the "sockets" to accommodate any of the typical 12vdc bulb bases.
After some research I found a pretty cool solution. Typical-looking fluorescent spiral-type screw-base bulbs which are 12vdc. Got them from Camping World (ugh) for about $7 each. So, just wire your fixture into your 12vdc system, screw in these bulbs, and turn 'em on! Lots of illumination, like a typical 120vac bulb of this type, but needing only 12vdc. I have used several of these bulbs for the past seven years and they are still going strong. There is no polarity here to worry about, so just run one wire to the red and one to the black of your 12vdc system; how easy is that.
They are not very well marked when you get them, so I suggest writing "12vdc" in red on them in big letters around the screw-base of the bulb. Once, I picked one up and screwed it into a fixture on the 120vac system, and it blew immediately! Ha, ha; dumb me . . .
These are probably now available on the Internet somewhere else so you can avoid the misery of dealing with Camping World. This is an easy solution for a 12vdc, plus you can use existing 120vac fixtures and table lamps.
Just my opinion . . .