When my father passed away a few years ago he had been living in a council bungalow. When we went up to the office with a copy of the death certificate we were just asked to clear it as quickly as possible and hand the keys in when we were done. As we were over 300 miles away from home it had to be done quick anyway - £100 to a house clearance company to take away the large items, papers and photo albums into the car to sort out back home and what was left over piled in the wheelie bin. A terrible way to conclude the gathered possessions etc. of someone who lived over 80 years, but it just had to be done.
Far worse was sorting out the utilities as that dragged on for months afterwards with nPower trying to claim he still owed money when in fact he had switched to British Gas. Then British Gas on being given the final meter reading stating the account was in credit and issuing a rebate, turned round a couple of weeks later and decided the account was in debit so wanted the money back.
Unfortunately it's a sad fact that being in the lead on dealing with the death of a parent, actually gives very little time to grieve. You need to keep a clear head and your wits about you.