Thank you for using JustAnswer.
First, I am sorry for your loss.
You said you live in California, so I will assume your father passed away here; but please let me know if this was not the case.
Yes, the home would be subject to probate if only your father's name was on the deed (eg: you or your sister were not joint owners). The assets under the trust name do not go through probate.
Now, probate fees in California are on a sliding percentage scale for the attorney. It's 4% of the first $100,000, 3% of the next $100,000, 4% of the next $800,000, 1% of the next $9 million, and 1/2% for the next $15 million. Here is a brief chart that might be helpfult to you in estimating your father's probate fees.
Thanks!
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Attorney
Over 12 years of practical experience in Estate Planning, Trust and Probate law.