Just add your iCloud email account to your iOS devices by going to Settings>iCloud and turn on Mail. If you set up iCloud on your PC and are syncing it with Outlook, your iCloud email account should already be set up in iCloud. If you aren't, you can add your iCloud email account to your email client on your PC using these settings: http://support.apple.com/kb/HT4864.
Once you have your iCloud email account on your PC and all your devices, it will appear inside the Mail app on your iOS devices alongside your verizon.net account. If you select to view all all mailboxes, you will then see a merged list of email from both accounts in your inbox.