You may want to research key terms Prop 19 and parent-child exclusion to investigate further.

Unless you can qualify for the parent-child or grandparent-grandchild exclusion, you may want to evaluate how a property tax increase changes your willingness to purchase and timing for doing so.  

Current CA property tax laws allow prop 13 tax base (reduced property tax) if property was home of your parents and will be occupied by a child.  

I’ve been trying to find more info on if I would qualify for the parent-child tax exclusion through Prop 19.

First, assuming the property is or was held in parent's trust, the successor trustee and transferee(s) need to file for a parent/child exclusion to avoid reassessment.

If you want to inherit former tax base from parent to child help us #FiXProp19 by #RepealTheDeathTax.

Since the home was owned by my grandmother, inherited by my mother, gifted to me, how does that effect my tax base as it relates to parent > child exclusion?

There is an exclusion allowed for property passing from a parent to child until February 15, 2021, but the rules drastically change after that date (Prop 19, Nov 2020 ballot). 

My wife and I (with our new 2 month old child) just purchased a home and are torn on what to do with our 2 bed 1 bath condo.Our new mortgage starts around $2200/mo due to a 2-1 buydown on the interest rate we were able to do, so it increases slightly each year.

Liabilities includes everything--credit cards, car loans, car lease obligations to end of the term, child support until child reaches age of majority, tax liabilities, loans from relatives, student loans, everything.