Well...from my experience, just be cautious.
Having Bitcoin is like having the ring from lord of the rings...and there are all of these Gollums circling around you, hopping you do something stupid so that they can take your
BTC.
The key here is that you must take extra precautions:
1) Use secure passwords
2) Use two factor authentication with online wallets
3) spread around your coins so that if someone is able to steal them they don't get everything
4) Keep some in paper wallets (cold storage)
5) Stay away from eBay and Paypal (I learned my lesson the hard way, got scammed out of .05BTC)
6) Have fun, and realize that you will soon catch Bitcoin fever! It's like gold fever...except you are lusting over 01010101's insead of minerals