Bathroom help (pip)

[softspot]

I'm looking to spruce up this bathroom on the cheap. 

Do you think the base cabinet will look good painted white? I hate the orange toned wood color it is now. I'll change out the knobs too & maybe add pulls to the drawers. 
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I wanted to frame the mirror, but the medicine cabinet trim is in the way. Would it look weird to have a piece edge up to the top of the cabinet trim then start again at the bottom? Any suggestions? 
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The walls will be painted a light gray & I'll switch out the faucet. All of the trim will be painted white. 

[softspot]

Here are more pictures to give you a better idea of the whole space. 

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The (broken) closet door will also be replaced. 
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[whitemerlot]

I think the cabinet and medicine cabinet would look nice painted white. I would skip trimming out the mirror if it would only work to do it on 3 sides.

[sierramist03]

I also think painting the cabinets white would look nice. At least stain the wood darker. I agree I would add some bigger nice handles. Too bad you could frame the mirror but it looks like the hanging cabinet is too close. I'd probably remove that mirror and replace it with a new framed one.