I'd try and get in good standing with Chen and Ran first, wooing them with my musical ways and convincing them to let me stay with them due to my circumstances. I'd help them around the house, learn about youkai ways, and entertain them as best I can. Maybe I'd do errands around Gensokyo and meet everyone else. Who knows, maybe I'd somehow learn some magic while I'm at it.
Then once my lovely Yukari woke up I'd try to play around with her gaps as much as I could and get her to see just how clever this human is. I'd try to be alpha enough to get her interested, then serenade her into my lover. Ah, if only.