We buy houses as-is, in any condition — no repairs, no cleaning, no cleanout required to sell to us. Sell an inherited house without cleanout, repairs, or hauling away a lifetime of belongings — we take it as it is. You can take the belongings you want to keep; you do not have to empty the house before selling to us.
While the estate owns the house, carrying costs can continue: property taxes, insurance, utilities, upkeep, and possibly a mortgage payment. Which bills remain depends on the property and estate. An inherited house does not have to be unwanted for those ongoing costs to matter.