If someone was handing out money to me, I'd get a Sony HXRNX5U, a recording unit, 2 wireless mics and a capture card.
The NX5U is capable of outputting 4:2:2 images via SDI or HDMI and that is apparently better for greenscreening than the recorded 4:2:0 AVCHD. Something to consider.
I have no idea about still cameras.
Don't forget to budget for your studio setup: lights, boom mic, stands, screens etc.