I definitely could be wrong, but it looks like EVA isn't a Starwood transfer partner? I'm guessing there is some airline that is also star alliance, but one thing to keep in mind is the transfer ratio from SPG to United is lousy (2:1). Not that it isn't a good travel card in general.
Assuming you are going to focus on United to fly on EVA, you've identified your best options. Most people on these forums have multiple cards, so you could get one now and one ~ 3 months from now. But you probably want to know which one to get now. How much are the United MPE perks worth to you? I'd say the CSP is a better all-around card, since technically it even out-earns the MPE on United flights (2.14x vs. 2x, if you factor in the annual dividend). There's also the 2x points on dining.