Under Proposition 13 the county assesses your home at what you paid for it, taxes it at 1% of that value, and can raise the assessed value by no more than 2% a year after that, regardless of what the market does. The assessment resets to market value only when the home sells or you add new construction. So the longer you own, the further your tax bill falls behind your neighbour's who bought last year.
On top of the 1% come the voter-approved bonds for the school districts, Shasta College and any special districts covering the parcel. In and around Redding these add roughly 0.03% to 0.12%, so a $400,000 purchase carries an annual bill of about $4,150 to $4,500, or $345 to $375 a month inside your mortgage payment. Direct charges, such as a landscape maintenance district, appear as separate line items on the bill.
A worked example
You buy a home in the Enterprise school district in southeast Redding for $400,000. Assessed value: $400,000. Base tax: $4,000. Enterprise Elementary bonds (2008 and 2018): $209. Shasta Union High School bonds: $92. Shasta College bonds: $56. Total about $4,357 a year, or $363 a month. File the homeowner's exemption and the assessed value drops by $7,000, saving about $75 a year.