Actually, waiting improves your weekly benefit possibly by $30, or $130/mo.
http://www.edd.ca.gov/pdf_pub_ctr/de1275a.pdf
However, should you work during your benefit year and still need a requalifying claim a year from now - either due to another layoff or part-time work - that new claim might pay for a substantially shorter length of time because a quarter of LAG earnings has been excluded because of the later filing now.
If you decide to go for the higher benefit and potentially shorter claim a year from now, file
no earlier than July 6. If you file the preceding week, CA will backdate the claim to 6/29 and exclude that high quarter.
CA determines your WBA by high quarter earnings; total Monetary Award would be 50% of base-period earnings - divided by WBA - to determine number of weeks benefits, explained in the handbook linked above.