I live in Long Beach. Termites are very common in Southern California. I have bought and sold properties for myself, as well as worked with homebuyers in the area. I have yet to find a home without some level of termite infestation or damage. In fact, I have my home fumigated every 5 - 6 years as a preventive measure.
You need to get a good termite inspector, whom you trust, and ask them if you need to fumigate or treat locally. In California, termite companies must be licensed by the state and are required to file their reports with the state. Those who want to stay in business will be honest and straight forward with you. (If you need a referral let me know.)
It is amazing how much knowledge and information can do to bring the sunshine back to the parade route. Do that now, before you buy, and you will be thankful you did. Dare to Dream.
Real Estate Consultant
RE/MAX Palos Verdes Realty