Our goal is for me to buyout my siblings and to own the house myself while maintaining as much of the prop 13 tax basis as possible. 

I am in need of reputable outfit that provides consolidated  Family  Office Services under one roof in Sacramento  area( Asset Protection, Trust and inheritance, Tax  services and strategies  and   Financial Advice for  Real Estate Investors ).

Obviously taxes play a part.

Running the numbers includes calculating the ARV, and estimating the following: rehab costs, closing costs (I use 10% of ARV, that will cover a buyers and sellers commission at 3% each and 2% closing costs on each of the buy and sale), funding costs, staging costs, insurance cost, property taxes while you own it, utilities while you own it  Other tips:Stage every house you flip unless we get back to a stupid market like we had two years ago where you got 20 offers on the first weekend at $50k over ask with no inspection contingencies.

My goal is to learn tax deed investing specifically and start my financial freedom journey.

If heirs sell for same price, no taxes. 

This is when the taxes are due and the seller will recognize the gain.

But want to retain my Fathers' Prop 13 low Tax basis when transferring ownership under California Prop 19 im told by the County tax accessor i can what's the best type of loan to buy my Sister out.

You don't actually own the property until the sale is ratified by the courts as a foreclosure is a legal process though you are generally responsible for the property taxes for the property from the moment you win.

All that combined with low property taxes, no income tax, and landlord-friendly.