As far as having a valid British visa in an expired passport, you can use it with your new passport as is the case in USA. But I don't have exact  knowledge for the other countries mentioned. This is I am telling you on my personal experience as when I was issued a 5 years Multiple entries British visa, I was also handed over an information page by the British High Commission in Pakistan which contained that particular information...  Wish you all the best... and I'll try to search that document in my record.. if I could send you as a proof... provided I could find it in a mess of documents... anyways you can reach me if you wish to at iemc.pk@gmail.com (Mr. Raja, Pakistani) take care n bye for now