I don't think the cabs are cherry or oak. I believe they are birch or maple, stained in a red cherry color. A closer look would help.
this is cherrywood. It has a specific grain to the wood. Normally real cherry cabinets don't have really red stain added to them. they are naturally pink/red toned.
No matter though. Yours are stained in a red cherry color. But I wouldn't be concerned w/painting them. They aren't made of a rare wood.
what are those countertops you have? Have you considered painting the walls a darker tone and doing a backsplash? It just looks washed out around the counters and cabinets.
bar hardware would also help.
Q
Same colors as mine except for appliances.
Q