Best Hotmail alternative for emails that don't 'expire'?

I purchased some Twitter accounts a while back (eggs), just to save time creating them.

However I've noticed that the hotmail addresses that came with them no longer exist. I assume this is because I hadn't signed into them in X days. So I've had to recreate the same email addressess in order to get the mail from Twitter.

What would you say is the best alternative, where they'll never expire, and I can simply redirect mails to those addresses to one of my single emails, for things such as account locks, password resets etc?

I've read that using the same email domain (such as email1@mydomain dot com) for loads of accounts can result in a mass ban for all accounts, unless it's a genuine email provider, like Hotmail.

Yahoo is best alternative of Hotmail.

there was a tool that would login into your email once every whatever, but it's no longer available. So, I would suggest to create a script that would at the certain interval login to the emails. It may not be a simple task, but if you can keep your emails, it will pay off