A small bag carried close to the body is a difficult target for a pick-pocket attack because it is easier for you to protect. The more aware of the bag you are at all times makes it more difficult for a thief to get to it undetected.
Bags made of thick fabrics are more difficult targets than those made of thin fabrics. A bag made of thin fabric can be quickly slashed with a small blade. The thief can then steal valuable items and make it seem as though he just brushed against you by mistake.
Bags with a strap that can be worn across the body are more difficult targets because they hang closer to the body so you are more aware of them and they are more guarded. Of this style, bags with more durable straps are even more secure, because the thief cannot simply slash the strap with a small blade and take the entire bag.