It has been quite wonderful to be able to say that we're so close, seemingly, although I feel that this will always be an ongoing thing - seeing what goes in and out, re-evaluating what we need or love.
However it's been a slow and steady process. The first time we actually considered getting rid of things/not needing everything that we had was about 4 years ago. We had a lot of things stored because we lived in such a tiny place that we could only have the bare essentials out. DH just looked at me one day and said, "Clearly we don't need the rest, we might as well just get rid of it all". I was a bit 
as I was the one with attachment issues to material goods, he has always been very easygoing with ownership; when we moved in together the vast majority of stuff was mine, when I met him he only owned a computer and a small suitcase of clothes. And when he had more, he gave stuff away all the time! I couldn't 'get' it then, it made me uneasy if I'm honest.
We started to shed things, moved again, and found we still had so much stuff stored even though we had a bigger place and more things in use, and had already given away other things (including furniture). So we started going through stuff again and shedding again. Then we moved, again, and got rid of lots with the move (especially furniture).
And then, we found we still had far too much stuff! And that is around the same time I discovered MN 
When I found the minimalism threads I started reading, and it helped motivate me to consider everything in a different way, it was like it helped me to see the clutter properly - it's not just about the obvious, a lot of it wasn't obvious, like the ridiculously huge stash of make up I had when I use the same 5 items all of the time.
Then we moved again That was the final big push to clear out our stuff, because this time we benefitted from a slight overlap, so we could just put in what we knew we definitely needed and wanted, and then brought the rest slowly getting rid of the unnecessary - although we still managed to bring a fair amount of useless stuff. It has been during this year that I have been dealing with the final items (DIY mess is now resolved, cables are organised, paperwork all sensible, kitchen appliances relevant etc) and how we've managed to get to what I think is nearly completely sorted.
I think it's inevitable that we may have little bits here and there that we don't really need - I have found some white ribbon I'm not entirely sure what to do with, for example - but nothing major, and nothing that makes us feel fed up. And having DC means that there will be inevitable questions over clothes, toys, school things etc as those stages arise.
Sorry this is so long but I guess I just wanted to share our process so far, that it was a stop/start thing, that it wasn't a concerted effort throughout but grew with time, especially with these threads, and although it has taken a while to get to this point it didn't feel like it was dragging every day. I think because with each step forward it felt better which bought us some time of feeling comfortable before seeing the further clutter, so it didn't feel like it was just taking ages.