Honorhappy, Katiekat82 & Kewlchik: Thanks so much for all of your great suggestions!
Since the kitchen is tiny, I really like the idea of making more work space on the stove top. I'm considering a wood cover that could double as a chopping board.
And I think I'll finally buckle and look for the teflon saucer/drip pan replacements. The ones I have are gross.
I really appreciate your responses!