Is police more dangerous than fireman?

Fire fighters, as they're used to more hands on work :)

What are the rules of the fight? Are the cops allowed their sidearms, and are the firemen allowed their hoses?

Firefighters are more hands on? Firefighters are very physically active, but you are assuming that criminals always hold at their hands and wait politely for the officer's handcuffs to go on. Anyone that has ever seen an officer try to cuff a meth head knows that an officer can scuffle when they need to.