I am not a pro. I think you have two choices: 1. Keep the backsplash and repaint the current distressed cream cabinets with the lightest shade off white in your counters.
2. Repaint the distressed cream cabinets the lightest shade off white in your counters and replace backsplash with the same off white subway tile.
Whatever you decide, start by removing EVERYTHING above the cabinets. Less is more.

I would also update the hardware.

Backsplash and flooring will definitely be changed out but at a later date.

Just ditch it entirely and get a stainless hood.

But the whole thing has a poor layout that should be tackled if you’re going to spend any money at all on it.

Is all the decor from the previous owners?

It would help to see the kitchen empty of all the stuff.

The distressing doesn't bother me so much, but the glaze is really unfortunate -- it always looks dirty, and it's already not really in style. I think I'd be tempted to paint everything and replace the hood with something simpler like stainless. But I can't tell enough about the kitchen from this one fish-eye view to say whether it's worth the thousands that a good paint job will cost, or whether it will fit with your lifestyle. So you might do better to live there a year and then decide. Or if it's a nice kitchen in its bones, then do the paint, freshen it up, get a look you feel more at home with!

I agree with replacing the current hood with a stainless one. This kitchen looks like a high end custom kitchen. The sink is gorgeous!

PAINT !!That ship sailed a long time ago with all the disressing and glazing and different levels of cabinets. . Remove the hood and replace with a nice simple stainless one in a perfect world with tons of money this would be a gut job the layout is poor and could be so much better but at least painting will help until you can afford a new kitchen Be aware painting is not cheap so maybe live with it until the big job can be done.

Love that sink. If you are DIYer and comfortable with it, I would get some 600 grit wet-dry sandpaper and find a hidden lower corner and see if I could very gently sand through some of the glaze and get down to the cream color. I wouldn't expect to get it all off, but all the surface glaze that makes it look dirty. You would still have the glaze in the grooves. Clear coat afterwards if necessary. Worth a try.

What if you removed the 2 cabinets to the top side of the cooktop and add either a copper or stainless steel hood vent. It would open the area up.

For a quick fix, how about a soft black on the distressed cream areas?

Can that medallion on the hood be removed? That along with removing all the items on top of cabinets and repainting over the turquoise wall color. That would be relatively easy change and would help. I would not change out hood until you can do a complete reno. That can cause wall issues and backsplash issues to say nothing of being quite expensive so i would try small fixes for now.

We are in the process of finishing our kitchen and did our hood like this. Just throwing ideas out there for you

Thanks for all the ideas. Unfortunately, we won’t be making big reno changes this soon. Changing the vent hood would be the best solution but that would cause more renovations than what we want to spend right now. I do have a painter that is helping me out. We plan on painting the blue wall back to the cream color on the other walls and ceilings.
I’m wondering if we paint those cabinets a cream will it look bad either the cream walls? I’m not sure I want a black look. It’s hard because for years our plan was to build so I’ve had my eye on white kitchens, no stone backsplash etc.
I just want a quick fix for this area while I have painters there.

You might want to contact a metal specialist. They might be able to put a metal skin on the hood to change it up for you. I wouldn’t try painting. This looks like a good quality professional baked on finish so painting that is a complex job.