They're also slightly warped, so they rub against each other. This will be a problem when I repaint them. If they're warped and bump into each other, you might put the inside one on the outside track and vice versa (provided they fit that way and the hardware works that way).

The closet in my master is 29 inches deep. Then I have 3 other closets upstairs like this in my sons' rooms and the guest rooms. Those closets are 22, 23, and 24 inches deep. I'm standing in front of them now and thinking that if I had shelves on the sides and a bar across connecting them....well, if they were jammed packed like I have some of these closets then it might be annoying trying to move past the hangers to reach the shelves. It depends on how much stuff is in there. Looking at it now, I think I have actual "dead space" above my bar. There is so much room between the shelf above the bar and the ceiling that if I was to change my closet right now I might just keep the bar across and add cubbies above the bar for my bulky sweaters. I really don't find reaching into the side space to be that annoying. I noticed in my husbands closet he has his suits in the side space. He only wears suits at weddings and funerals. He also keeps the ironing board in there. We don't iron often. Apparently I never do bc I just now learned that's where we keep it. Lol. I don't think that little bit of "wasted space" is worth such a huge overhaul. As long as it's lit well and the doors are good (I can't say enough how much of a difference it was going from sliders and bifold doors in my last house to doors that swing open). And we have good lighting in the closet which makes it easier to see all the way into the side space. For the record, I hang 90% of my clothes. I only fold sweaters and undergarments. So having just hanging bar isn't so bad for me.

I'd like to install new/updated doors and drawer faces on the built-ins in my bedroom. What type of professional would be best to hire for this type of project?

I love a hand scraped hardwood floor but I'm not sure I see that jiving with the more formal traditional cherry cabinets. A regular white oak floor that was natural would work. I think you need to work from the bottom up. First, pick your floors, but they should also reflect the vintage/style of your home. There seems to be hardwood under the bar area - is that also under the carpet. If so, I would sand it down and finish it with a water based clear coat for the lighter look you like. You could run it into the kitchen and it would look fine with the cherry or if you decided to paint the cabinets. Otherwise, I think real actual hardwood is a wise investment. A couple of chairs on either side of the fireplace with maybe a small coffee table. I don't love the 90's green marble so I'd switch that out. I'm not a fan of wood trim so I'd paint the mantle and maybe try to pry off some of the decorative trim (but that's just me) as I prefer light and bright. It's hard to arrange furniture with no dimensions, so that may have to wait.