I would definitely shy away from any personal information other than a name and phone number of an emergency contact.

I was staying in a hotel for work a couple of years ago and paid the usual way -- with my credit card. Lo and behold someone got my number from the hotel (the only time I used the card that month) and charged up hundreds of dollars worth of pre-paid phone cards and adult toys. At least the thief had a sense of humor.

I think in today's age it's just too easy to get personal information. I shred or burn everything with more than my last name on it, and don't carry anything more than some addresses and phone numbers in my EDC. Oh yeah, and a few frequent shopping cards.