I have this beautiful mirror that used to be DH's maternal grandmother. I would love to clean it up and refinish it.

I think the edge detailing is all like a hard plastic.
What's the best way to clean it up? I was was thinking soapy water and toothbrush. Lol. Is there a product out there that will make it easier?

I want this for over my dresser I think. Our bedroom will eventually be a smoky gray with bright yellow accents.

Any tips and suggestions?