It sounds like Notes may be easier than reminders ...
Here's the pertinent section of the iPhone iOS 6 User Guide discussing Notes. I included the iCloud section FYI, but the section below it pertains to your situation:
Use iCloud to keep your notes up to date on your iOS devices and Mac computers:
- If you use a me.com or mac.com email address for iCloud: Go to Settings > iCloud and turn on Notes.
- If you use a Gmail or other IMAP account for iCloud: Go to Settings > Mail, Contacts, Calendars and turn on Notes for the account.
Choose the default account for new notes: Go to Settings > Notes. Create a note in a specific account: Tap Accounts and select the account, then tap to create
the note. If you don’t see the Accounts button, tap the Notes button first.
See only notes in a specific account: Tap Accounts and choose the account. If you don’t see the Accounts button, tap Notes first.
Delete a note while viewing the list of notes: Swipe left or right across the note in the list.
Here's the analogous section from the Reminders chapter:
Keep your reminders up to date on other devices: Go to Settings > iCloud, then turn on Reminders. To keep up to date with Reminders on OS X Mountain Lion, turn on iCloud on your Mac, too. Some other types of accounts, such as Exchange, also support Reminders. Go to Settings > Mail, Contacts, Calendars and turn on Reminders for the accounts you want to use.
So the bottom line is you should be able to synch your notes and reminders when you do an iTunes sync with your iPhone and/or iPad. But if you haven't done so already, you'll have to set up notes as well as reminders in one of your non-iCloud accounts and make sure all your three devices look to the same account for its information. Of course, you won't get instantaneous updating as you would with iCloud, but I think you're not seeking that anyway.
I hope this helps.