I suggest you make your first trip close to home and spend the time reading the manuals that came with your unit. It can be a little boring but it is time well spent.
I use a pressure regulator at the hydrant and a filter at the trailer.
Many people seem to have difficulty with their Zip Dee awning. There is at least one video on the Airstream site about how to use it. Keep it well lubed--spray silicone only. As noted above take it down if the weather threatens. Zip Dee advises against using guys as they can cause the mounting points at the trailer to rip out.
The wheel lug nuts on your unit are probably of two pieces; a chrome cap over a steel nut. When the cap comes off (it will) you will need a 3/4" six point (I say again SIX point) socket to get the nut off and even that will feel "risky". Or you can change them all to solid nuts such as McGard 64010 (Amazon). If you follow the good advice about torqueing your wheels you may need the socket sooner than later. Re-torqueing after warranty brake work is how I learned about two piece nuts.
Carry enough leveling blocks to drive a non-flat wheel on to "jack" the flat. I've never had a flat, even to Alaska and back (on 16" Michelin LT tires) but... I had 12,000 trouble-free miles on the Goodyear Marathons that came on the trailer but others have not been as fortunate. At 12,000 my sidewalls were pretty wavy. We are totally anal about tire pressure. In addition to manual checks I installed TST pressure and temperature monitors and I carry a
12 volt compressor to correct before every move, if needed.
The comment about the supplied single-stage charger/converter being death to the batteries is to be believed. Progressive Dynamics makes a multi-stage "drop in" replacement that comes with excellent installation instructions.
If you're beginning to think that for what Airstream charges they should provide better components, join the club.
And speaking of clubs, join your local WBCCI chapter. You will meet nice people, have access to national caravans and local events, and receive the "Blue Beret" which lists what every chapter in the country is doing.
Good luck, have fun.
and one more thing: Remember the obvious, that your Airstream is wider than your tow vehicle. Especially in construction zones with narrower lanes and concrete barriers where you are concentrating on keeping out of the oncoming lane and maybe not thinking about what's on your right. My enlightenment came in Chattanooga where I notice my concern for oncoming was getting me within about 3" of tearing the side of the trailer off.