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Based on the information provided, there should not be any taxes related to the estate.
There are two primary ways that you MIGHT be responsible for taxes. 1. If any of the money is coming from an IRA or other retirement plan, there could be some tax liability related to that. 2. Any interest or dividends earned by the money after his death will be subject to tax either to you individually or to the estate.
However, the actual receipt of the money and property is not taxable to you.