Thanks John,
Given that the article in howtogeek seems to suggest that my circumstances are more suited to POP, do you have any further advice.
To be clear, I run a very small business and I use MS Outlook to manage all my e-mail, appointments, tasks, reminders etc. It's brilliant and I can find everything where I want it in one single instance. Also, I am able to transfer the .pst files from my desktop to my laptop when I am travelling abroad.
I NEVER use my online account OR my phone to either reply or forward e-mails, unless in an absolute emergency. I have my Gmail accounts set up in Outlook (as POP3) and they are working fine.
As I said, I only use the mail app on my phone as a notification that an e-mail has arrived - nothing else. My business is such that speed of reply to e-mails is critical to it's success. So, if I'm at the shops and an e-mail arrives, I know that I need to get home quickly.
T