Greetings from another new guy

Hi all,
I have also been lurking in the shadows while I was searching for the perfect old Mopar to pick up for "therapeutic purposes". Long story short, I started out soem 30 years ago with a big block A body, went through a pair of B bodys, went to the dark side and did Fords, and now, after about 25 years, things are finally right to get another "hobby car". I was looking Mopar again, and man have the values gone up. I kick myself for dumping the ones I had.
In any case, I have a line on a 63 Valiant convertible in the area and am going to take a look at it. I am familiar with the quirks and trouble spots on a lot of older cars, but not Valiants. i am good on dealing with the electrical and mechanical side, but not on body/frame/rust issues. I am looking for a fun car, not a trophy winner (at least at first), and am not looking to sink a mint into fixing it up. With this in mind, what areas should I be wary of when checking this out? I appreciate any input I can get.