I have been researching this and I discovered some work that's been done on Ireland into successfully composting nappies (I found two brands - Moltex and one other - would have to check on name -- they weren't any more expensive than other types of nappies, but you'd probably have to mail order).
I checked with our local council waste people (we are in south London) and they admitted there is no rule against home composting nappies - although they clearly thought I was mad! We have a largish and not overlooked garden so it would be quite practical to add several more compost bins they are provided at heavily subsidised cost by the council and I thought better than stinky disposables in the dustbin (we have fortnightly collections) or than washing "real" nappies in the washing machine, which is in our kitchen, where we eat...bleurgh!
However I am not sure compostables are going to compost quickly enough to make this practical. I am doing a small experiment on the two different brands to see if they compost within 3 months (am going to check on them in a few weeks, as I buried them in early August). I also noted that the Irish studies were done with worm composters, and when I looked into that I decided having to manage worms as well was a bridge too far and possibly meant I was actually mad for considering it and not just 'mad by local council standards'.
If I haven't put you off I can send the links to the various sites and studies I looked at.
However, I understand that putting compostables into landfill is a bad idea & you might as well use Pampers etc, as the last thing you want is semi decomposed nappies in the middle of a landfill. So seeing as I need to use a nursery when the baby is older, even if this works I'm still going to need some sort of alternative (also I can't imagine bringing nappies home from trips to cafe/other people's houses, to compost).
FWIW, I think this could turn out to be one of those things that is considered relatively normal in future, rather like recycling has become normal when it used to be considered rather weird. After all, our landfills are nearly full in the UK.