So, next weekend I'm going to my first real "competitive" game. Because I've always played at a venue with a house rules, I don't really have a clue about my question.

Here it is: If I have a feat on multiple characters (say, Alias), do I need multiple copies of the actual feat card, even if I'm spending the points for each feat on each character and have the one piece o' (tourney legal)cardboard?

yes you do.
BTW you are allowed to print out any feats now, you no longer need the original feat.

Edit: Some venues will be ok as long as you have a list and show when each one time use feat has been used.

Yes, you need multiple copies, but with Print & Play that should not be a problem.

Okay, thanks for the quick response. I was thinking that was going to be the answer. I just needed to figure out how much pieces of paper (versus cardboard) I'd be required to keep track of.