Most likely a carpenter for the woodworking and an ornamental metal guy for the copper work.

I hope moving is not in the futire IMO inappropriate in a kitchen. And I hope you mean the foot rail for sure .

Contact Havens Metal and ask for Alex Havens. They are located in Florida and do custom copper and stainless steel. Obviously they do mostly sinks and hoods but they have an industrial sector which can theoretically make anything.

Since they are located in Florida presumably you could arrange for installation and/or they would know people who they work with to do the installation.

I have no idea what the cost would be. I got my copper farmhouse sink from them and it wasn't cheap.

Ask for Alex Havens

https://havensmetal.com 

There's a pro here that has posted some nice projects. They list Florida as one of their states: https://www.houzz.com/pro/grayleaf/grayleaf-studio

If you are able to get the custom bar rail from a maker, why can't you get the copper top as well from them? Do they not offer such a thing, or maybe you don't like their offerings?

Thanks, I sent a message to Grayleaf. I'll also try Havens and Rachielle. The company that makes the bar rails seems to make ONLY bar rails. But I guess I could try contacting them to see if they could sub-contract out the rest of the bar and send me the finished piece. It seems to me the bar rail would be the hard part. The rest would be pretty simple fabrication, I would think.

Heh, you might find the folks you like for the copper tops don't do the bar rails you like, so you might still need them. Are you thinking of having wood ones like in the OP pics?

Have you contacted the company that actually did the counter you like?

https://totalcopper.com

Something to consider is maintenance as these are not living finishes and evidently have epoxy finishes. I have no idea how durable the epoxy coating would be for a counter if the counter received hard use.