According to an ISP review article, BE customers will be losing their BE email addresses. Can't say I am surprised.
It saddens me when I see companies with big sign writing on the side of a van with an @btinternet.com email address on it, not because it is BT, but because they are tying themselves to that ISP by the email address.
It is worse when you see a van with a proper domain name for their web site, and then an @someisp.co.uk email address on it, when clearly they could use their proper domain for email.
The Oatmeal have a good cartoon on this.
I suppose that these days using hotmail or gmail is probably fairly safe as a personal email address. At least you can change ISP when you like.
But the best thing to do is get your own domain. It is not hard to get one for the whole family, though common surnames have often gone. Domain names can be moved between ISPs/email providers if needed.
When my son was at school, he used things like hotmail, which was, to be honest, embarrassing. It is a bit like the "cobbler's children are the worst shod", running an ISP I could give him email on any new domain that he wanted. He was not interested. It was not until I finally got the domain fuck.me.uk that he decided to use a "proper" email address. He took great delight in ensuring that the school had his correct email address on record. Apparently they even called my wife to confirm he was not taking the piss.