How can I set up email on my GS4 to handle both email and gmail accounts?

How can I set up email on my GS4 to handle both email and gmail accounts?

I just moved from iPhone to a Galaxy S4, and I'm trying to get it set up.
I have a gmail account, and two NON-gmail accounts. What is the best
solution to have all of my emails managed in one place/app? I would really
prefer not having to switch between two apps to check my emails if
possible. Thanks for any assistance.