Is that money in the accounts considered inherited money?

Generally joint bank accounts are considered inherited money or a gift which are not taxable.. The Quit Claim deed on the house is another thing though.. If you use the quit claim deed you will take the house at your father's basis (generally the price he paid for the house).. so when you sell it you will have to pay taxes on the difference from your father's basis and the sales price... if he sets his estate up so the house goes through probate then you would inherit it at the value at the time of his death.. e.g. you would pay little or no taxes if you sold it shortly thereafter.

I need the details. Generally the bank accounts, no. As for the quit claim deed, that could have tax effects when you sell the property. Do it right, seek counsel.