hey baustin
This sounds like an awesome project to be involved with!
I do TV audio and have done cooking shows. This being a doc and probably quite unpredictable, you would need quite alot of gear.
The SD744T is a great place to start.
You'd also want up to 4 sets of wireless mics probably, like Lectrosonics UCR411/UM400 with Lav mics like Sanken COS11's or TRAMS.
Probably a 4 channel mixer to go through as well like the SD 442 to give you flexibility.
The cooking situations are noisy so I would tend to clip lavs on all the players and try and bounce them each to their own track on the 744.
For the music setups, you may want lavs on the players and then a nice stereo pair running as well.. Depending on how complex those setups are you may ofcourse need more mics and more tracks. in which case you could renta SD788 which has 8 pres..
Lastly bear in mind that for editing purposes its almost always necessary to send a rough audio mix to the camera as well with another wireless system.
Then remember to either jam your recorder regularly to the cameras free run timecode or put a Denecke SB-T sync box on the camera (with tri level sync) and then jam that to using your recorder as the master.
Thats the basics of it.. if its all very foreign to you and theres budget for a second sound guy gimme a call!
Documentaries are my thang!