I live in Lakewood and am therefore not very far from you. I know of two shelters that may assist you with low-cost neuter/spay:

Long Beach Animal Control
(also Pitchford Animal Center)
7700 E. Spring St.
Long Beach, CA 90815
(562) 570-7722
(This one is just off the 605 freeway, next to El Dorado Park)

Downey Animal Control
11258 S. Garfield Ave.
Downey, CA 90242
(562) 940-6898
(This one may be a little farther north of you, but it's a nice facility located inside an industrial park)

Disregard this message if you've already found out about these centers.

Good luck!