PS4 supports current-gen Move controller but not DualShock 3
It was probably too much to hope that we would be able to use our current PS3 gamepads with the new PS4 hardware, and it sure turned out to be.
Polygon asked SCE Worldwide president Shuhei Yoshida if the PlayStation 4 would allow consumers to use their now-standard DualShock 3 controllers with it despite the DualShock 4 having a lot of additional functionality. He said: "No, [the PlayStation 4] doesn't support DualShock 3 but it does support PS Move." That is, you can keep the Move controller you picked up in that SOCOM 4 bundle on impulse, but you'll only continue to get use out of the DualShock 3 if you keep using your PS3. And you should definitely keep your PS3 handy anyway.
This isn't terribly surprising, as a lot of or most new games will have functions you don't have with the DualShock 3. That thing doesn't have a touchpad or a "share" button, after all.