At the end of date, don't travel alone in your date's car. Either let your date escort you part of the way home, or arrange for your own transportation. You are still relative strangers. When you and your date exchange full names, you should also exchange personal references. Don't dismiss this advice as too business-like or distrustful.
Nobody can learn everything about someone's background over the course of a one or two hour meeting.
Your Internet date is, for all intents and purposes, a stranger. A reasonable person will understand your caution. And be sure to do the follow-up, checking these references before your next date. Don't assume that everything is all right because you've been given a list of names and phone numbers. Even still, don't volunteer too much secretive information on the first few dates.