To put the server limit issues in context, my own mail is hosted in a Google Apps account. Like any other gmail account, the limit is currently 15GB. I very rarely delete email and so every email I have ever sent or received, since first acquiring email in early 90s, is stored in that gmail account. Approaching just 7% of the limit, last time I looked and anyway, they keep increasing the limit.
And don't forget, the fact it is hosted offsite by some distant provider means you can worry a little bit less about backups and recovery in the event of something awful, like a home fire.