Email

So I use Mail on my iPhone and computer. I have 3 mail accounts, gmail 1, gmail 2, and outlook, plus my iCloud account.

Would it be better to forward those messages to my iCloud account and just work with the one account, and can I reply from those email accounts through iCloud?

I ask because I think that email pushing to my devices blows. I have it set up on my computer to check for messages every minute, and push to my device, but I don't get emails the same, and sometimes I just don't get them at all.

For instance, I'll get an email on my iphone, but won't get it on my Mac. I know I have an email, so I have it check for mail, nothing shows up.

Any advice? Or do I perhaps have a setting wrong?