Yaaay! Well done.
And we've had a couple of members do Europe and stayed in hotels using cloth nappies the whole time.
I have gone to the USA and travelled around the US using cloth nappies but I stayed at relatives' places all the time.
If it helps, I've also gone from Canberra to Qld north coast then up to Townsville and the Gulf of Carpentaria and back down through the Qld Outback to Canberra in cloth nappies. We stayed at mixture of caravan parks, hotels, friends' places and bush camping. All up 5 weeks and used cloth all the way.
It really is very easy.