First Trailer

We got our first FW, 2011 Keystone Cougar. I have a bunch of questions:
Going to try snow birding, Just too cold in northern Minnesota any more!!!
What type of jack do you carry, or use TV jack?
How long will 2 12v batteries last, we had a slide-in, so we are frugal.
I fully don't understand all I don't know about the electrical system on this thing, the manual is no help, is there a wiring diagram out there some where?

After reading this site for a while, I plan on getting a surge protector, water filter, pressure gauge/regulator, tripod stabilizer, just to start.

I figured basic hand tools to carry with, anything else?

WE have been cleaning and fixing, can't say much for dealer prep.
The tires, I didn't notice on walk-through, were hideous, all the tread wore inside, had axels aligned, learned a lot from tech.
I re-drained all the water and flushed the system numerous times to get anti-freeze out of water heater and everything else. Fixed cable to truck connecter and brake wires.

Any suggestions would be greatly appreciated!!!
Thanks, Dan and Jan