Handbag (as opposed to purse) is the proper lingo.
Carry your handbag on your left so your right hand is free for socializing and greeting others.
Refrain from placing your handbag on the table. Instead, hang it on a handbag hook, place it on an empty chair if available, or on the floor as a last resort. If you have a clutch, put it behind you in your chair.
Keep your handbag tidy and organized.