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.

Would we somehow also be able to benefit from preposition 19's parent to child transfer?

They call this the parent-child (intergenerational) transfer exclusion. 

Prop 19 gets rid of the parent-child exclusion in a huge way that will hurt long term real estate investors. 

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

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.  

The W2 income is high through marriage; it is two W2s and a child deduction.  

If I had my properties in a Wyoming LLC for anonymity and the property can't be traced back to me as the parent, aren't my kids inheriting this property through a business, the LLC (losing the parent-child transfer)? 

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?

Holding a home in joint tenancy with a spouse, the surviving spouse retains the original cost basis on 50% of the home instead of getting a step-up in basis on the entire homeIf you own a home with your child as joint tenants, your child will only receive a step up in basis on your half of the value of the home when you die, this is another complex layer...