The handle body will be attached to the faucet valve stem by a screw concealed under a cover cap. The cap on older faucets is often metal and screws into the handle. So to gain access to the screw holding the handle on, you must take a pliers and grip the cap and unscrew it to reveal the screw. Other faucets may just have a metal cap that pops on and off. The best way to tell is if the metal cap has serrations around the perimeter, then that's for grip and is probably a cap that screws off. If the cap is thin, then it probably prys off.
Once the cap is removed, it will reveal a screw that holds the handle onto the valve stem. Remove the screw and firmly pull off the handle.
