There are number of companies which provide the email hosing service. If you will search on Google, you will get the list of email hosting provider.Before sing-up, you should make sure the email hosting provider is providing the below features -
1. Seperate login panel for email accounts
2. Allowed email forwarding
3. Proper disk space allocation for inbox, sentbox and other folders in your email account
4. Security policies for your email account
5. Spam control mechanism
If all these features are provided with the low cost then feel free to sing-up for the email service.