As mentioned earlier, you can select from a number of manufacturers in several countries. One of the main considerations is if they make boards in the colors you want.

The colors for this project are white solder mask, black silkscreen and silver (bare metal). In the end I also wanted it thinner for the LEDs, 0.8mm thickness. I could get this combination at PCBWay.com. (Note: this is not an endorsement and there no consideration given / sponsorship / discount for using them).

Note that colors and thickness might slow production from generic green boards as the manufacturer must gather enough boards to panelize for manufacturing. If you want a board to just look at and do electrical tests, you might specify default colors and thickness then use special processing on boards that will be final use.

Parameters

There are a wide variety of manufacturing choices available. 

FR-4 is the most common board type and the one described earlier. Two layer boards are more common and this guide's design uses both sides.

Choose the color for the board and silkscreen.

Two different finishes are available for exposed metal: HASL and ENIG.

HASL is when the board is dipped in liquid solder, making a silver finish. Lead & Lead-free (RoHS compliance) is usually available.

ENIG consists of an electroless nickel plating, covered with a thin layer of gold, which protects the nickel from oxidation. While a bit more expensive, it provides a pretty finish that will not oxidize readily.

For the LCARS, the logo is the only exposed copper layer and I just ordered HASL but if you want it in gold, use ENIG for an additional charge.

The choices for this project are circled in green in the screen above. Note that this particular manufacturer has a minimum order of 5 boards.

Checks

The board house will look at your design to see if it is manufacturable according to their processes. Likely they will note any issues and bet back to you with issues and if you should go into KiCad to make adjustments.

They did ask if the LED holes should be plated, I said no.

Now sit back and wait until your boards come.