Depends if it is the old style Kwikset, or the new Titan. In any case, any locksmith can change the handing. And many hardware store keyrack fellows can too.
Titans need a cut key with a notch in the bottom to allow the retainer to drop in. And then the cylinder pulls out, turn it half turn, put it back in, and take out the core removing key.
The old Kwikkies you have to take the lock off the door, pull the spindle out, and use the Kwiket tool to pop the cylinder out. Hard to explain, in writing. But somthing a locksmith can do in a couple seconds.
Some of the latches that they are selling now (JUNK) are designed to operate backwards of the old ones. More like the Weslock (JUNK) latches. So, unless you really know what you're doing... no way to know.