My DM passed away a few years ago and DF still lives in the large family home with no plans to downsize. He is early 70s and now dating but if he did find another partner I expect he would move them in rather than sell up.
My sister and I were each given some of DMs jewellery and donated most of her clothes. But there is still lots of DMs personal and family stuff in the house. When my sister visits DF she often takes things home with her. Last week it was a packet of old letters of our mum's mum (our GM). I don't know if she considers the letters to now belong to her but I expect that will be the result. I have found it too soon to take anything or maybe am just afraid of potential conflict.
What happened in your family to the things that are more relevant to you and your sibs than the surviving parent? Did they just trickle out like this or at what point did you make a decision to divide them up?