Will you have a car to drive to Staples?
Basically agree with what's been posted above... without a car, Hollywood or downtown LA is your best bet but if your hotel budget is low you'll probably do better in Hollywood, and can take the subway to downtown where Staples is from there.
LAX is a dull area, far from most things, so generally not suggested except as a place to lay your head after a long flight for one night, or the night before an early morning flight.
Glendale with a car would be ok but also tends not to be especially central, but its not all that far from downtown and if your main purpose is the Kings, it can work.
Even if you do have a car for during the day, you'll be better off taking public transportation to staples for the games. Traffic will be bad and parking will be $20 or so. I would try to find something downtown or culver city. Just how tight is your budget?
Yes, I'll have a car.
I'm trying to stay below $100 per night. It also has to be a smoking room.