Well, you've got 2880w of panels there and all the sun you could hope for so really the sky is the limit. Really the question comes down to how much you want to spend but that should carry a 6kw system without a problem.
I'll start with the basics though...
How much power do you expect to use? (Inverter sizing)
How long do you want to be able to use that power? (Battery bank sizing)
How much do you want to spend? (Budget sizing)
If you run a 48v battery bank (most efficient for higher output inverters) you've got to figure at LEAST a 60a charge controller (which is usually about top end) for that much array, or even better do a 4s/2p on a pair of 40a controllers and have your panels spread out to catch longer sunlight (i.e. a string facing SE for morning sun and a string facing SW for the afternoon sun).
If you had all the moneys you could easily throw a huge Lith bank on there and have a 6Kw inverter, or a couple of 3Kw inverters providing split-phase power, or you could put in a smaller inverter for the lights and a radio and have enough battery to run it all year without panels at all.
Tl;Dr - Have you done a power audit?