Obviously check each home specifically for its tax rate, but if you're looking this may help you narrow down what you can afford. In general it appears to me that homes south of 580 or East of I-5 are likely to have a lower tax rate.
**I am not licensed in tax, real estate, or anything related. Consult a professional and know that there are exceptions to my very basic answer.
This protects long time owners from drastic tax increases during real estate inflation bubbles. (and from normal inflation too.)
So two nearly identical properties may have huge disparities between what each owner pays, depending on how long they have owned their home.
In addition to property tax there are often special district taxes that may also be collected with the property taxes, Since they are not called "property tax" they are not subject to the 1% limitation, but they have to be approved by a majority or a supermajority of the voters.
These other assessments include landscape and lighting, additional school bonds, and Special Communities Facilities District Bonds (aka Mello Roos )
I am an hour or two north of your area of interest.
I hope a San Joaquin Realtor will join in to give you some specifics about your cities.