First off, welcome to the forums! You'll find all kinds of helpful information posted here.
Secondly, Airstreams are not
"chromed". They are made with aluminum - most with a clearcoat finish, that eventualy fails as it sounds yours has. The "super-shiney" Airstreams you see are polished. You can search for lots of varying methods of acheiving that mirrored finish that is mistaken for "chrome". It is a lot of work, but can be done as a DIY'r...we did. Another option some have found to be acceptable to spruce things up without polishing is to just strip the old clear coat off. As you probably have on yours, it turns "milky" when it fails. Depending on how bad it has failed, the aluminum may
still pretty pretty nice underneath the clearcoat. The problem is when the clearcoat has failed in patches over time and the bare aluminum has been exposed to the elements and oxidized irregularly. That can not be easily fixed...after removing the clearcoat, you either have to:
2) wait for everything to oxidize to an even patina
3) soda or walnut-shell blast
Take a look at the search results for these different options to get a better idea of what is involved. In the meantime, enjoy your new baby!