I have been using InkyPi for my own E-ink display. It recently got support for weather as well. I'm using a different display though, so your mileage may vary, but for me it works like a charm, would highly recommend. :)
> you can sign up to each service with a unique email address, e.g. <microsoft>@<your-domain.com>, which makes it easy to see if any services ever sold your address
You don't need your own domain for that. Gmail (and probably the other big ones) support it as well, just add a plus sign and whatever after your username: [email protected] will end up in the inbox of [email protected].