Looking for simple email solution

[speck]

Here's the situation - I currently use multiple email addresses. I don't need or want to access all my email from my phone. (there's just too much)

I'd like to be able to set up one email account that I would sync with my phone. I could write 'rules' for my work outlook account to forward particular emails to the 'phone email' address.

Ideally, I'd then like to do the same thing (rules to forward particular emails) for all my email accounts, although I'm not sure if that is possible for ones like hotmail, yahoo, etc.

Is this do-able? What would be the best way to go about this? My first thought is setting up a specific gmail account, then following the various posts here to get that setup on my phone.

Would that be the best approach, or does anyone have any other suggestions?

Thanks!