A: YES! Feel free to bring props with you, there is no way I could have everything everyone wants. (I just don't have the space.) Please ask me first if the prop is large or alive.
Suggestions:
Sports balls (basketball, football, etc.)
Uniforms
Trophies, Medals, Awards
Special/Favorite toys or books for children (this can also help with shyness around the camera or photographer)
Bring what helps express who you are!