If my Aunt dies without a will (intestate), what would a Lawyer charge to handle the estate.

The cost is going to depend on several factors.  You indicated she had a will, but that it was not notarized.  The will might be admissible to probate under a process called solemn probate, which would allow that will to be used, instead of the intestate procedure.  You should take the will to the county probate office in the county in which she lived at the time of her death, and ask if intestate is needed, or solemn probate.  Good Luck !