Many, many folks here, myself included, use LED strip lights, not individual LEDs, to light passenger cars. For those running DCS/TMCC/Legacy with 18V in the track, 12V strips are preferred. For conventional operators, 5V strips are preferred.
Here is an example of 12V, 5 meter strip of 300 LEDs for $2.54 w/ free shipping:
https://www.aliexpress.com/ite...b159-fb7be67657bb-15
Simply cut-off the length needed for a particular car.
Power from the track runs through a regulator like @gunrunnerjohn provides via Hennings Trains (just click on the link in his signature above) or from a LM 2596 AC/DC buck converter available on eBay.
Good luck with your project, especially the brass vista dome fabrication.