Not asking about Medicaid, Nursing Home spend down! Just want to know how a funeral trust impacts my assets!

Yes it does, if it is an irrevocable funeral trust.

How do i look for a best attorney to do the deed transferring and guardianship?

Word of mouth, that is, a recommendation is usually the best way to go. Of course, it likely will be helpful if the attorney is in the geographic...

My sibling is on my late fathers deed for the property. But me and my other siblings are listed as executives.

Your last question is actually the main question. If your sibling is the owner of the property, you are not needed for anything. When you say you...

Am I responsible for my brothers debt??

No

Certificate of death?

As an attorney and title agent, I can tell you that the title company needs to ensure clean title. There apparently was no will on file probated...

Land purchase offer shenanigans...

Yes they are. Unethical? Yes, but illegal? No. Welcome to the wonderful world of real estate negotiations.

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Do I legally have to split the profit with her?

Ultimately, the answer is 'no', but you likely will need a lawyer. You say you are selling, but you and she are selling. You will need...

Our home in Nassau County, NY is under my parents, I live here, how do we add my name to the deed with no extra taxes?

If the transfer is a gift, there will be no tax. However, there could be a gift tax Concern ( which is not likely) Or a capital gains tax concern...

Although her co-op is exempt while she lives in it, upon her death Medicaid will have a lien on it for the amount that was paid for her care...

Deceased moms property insurance

Whoever advances payments of this type for the house should be reimbursed before net proceeds from sale are divided. Your attorney should advise...