Hi Mary Beth!
I like both. There is one caveat for having prospective clients friending you on Facebook. It is not always a good idea.
It depends a good deal on how you use your page. If you share a lot of information and play Farmville and Mafia Wars, stop doing that. These guys are making that database available to others. And trust me, it's very easy to farm out that information. Branchout is another. I quit Branchout.
Isn't that what other agents do? Yes! But, remember it is a give and take. It's just as likely their clients could find my business more attractive. There are a few agents locally I keep in touch with and share thoughts and rumors.
There are more than a few Denver agents that I friend. They bring business as well as they take. Generally, people like to work with local agents. They should also know there is a world of difference between Boulder and Longmont and Denver and Longmont. I've sold houses doing business with agents all over the region. So, I'm obviously not terribly concerned that agents snatch up people I have friended.
Agents from other states don't send a lot of business my way. I have lived here most of my life but I like to visit other states. You never know agents in San Diego, Los Angeles, San Francisco and Phoenix, I might have you show me a house one day. I just got back from Ireland. It was fun visiting the local REMAX there. Great trip.
Just remember who your audience is, that's the short version.