Inheriting stuff

I just posted on the thread about Macrame about stuff which comes back into fashion, and it got me thinking about something else.  My dad is 90, my mum passed away 3 years ago, but his house is absolutely full of stuff which the two of them collected over the years and was precious to them .... they both grew up in poor households and did ok for themselves so material possessions were very important to them.  I have 3 siblings, but I know when my dad passes away there's very little of their stuff that any of us will want to keep.  I am absolutely dreading having to clear the house some day.  My dad would be very offended if I told him that I don't want any of it, he is always saying "do you want to take that with you" and I politely decline saying I have nowhere to put whatever it is, which is true but also it is just not to my taste at all.  It's even worse with my in-laws - I definitely wouldn't want any of their stuff, it holds no memories for me and my OH has no sentimentality for any of it either.

OH and I have realised that one day our kids will probably feel the same about our stuff, I have told them already that they can do whatever they want with it, not to feel obligated to keep anything ... not that we have anything valuable, we live in a throwaway society these days so it's not quite the same as with the older generation who put far more value on things they'd worked hard to buy.  

Have you had to deal with this dilemma?