I have to agree with Bob and Luis. POP is the legacy approach that most email providers grudgingly still support but it has been on the way out for awhile. I also have an ancient POP account still, but everything else we use, including my company's emails, is IMAP.
Your concern about security is understandable but maybe somewhat uninformed. POP email comes in on an email provider's servers, through the OPEN internet through myriad routers, waypoints, etc., none of which are secure. Those servers are instantly mirrored and cached across multiple locations, and are constantly being backed up as well. Those backups are retained for who knows how long. Court cases show that the emails from many years ago can be retrieved when mandated in lawsuits or criminal cases. Those servers and backups are maintained by scores of employees in multiple locations, probably many working at minimum wages. Email is not ordinarily "secure," anyone who thinks that is deluding themself. Emails can be intercepted and viewed by scores of employees working for various companies, severs, waypoints; that's how internet routing works. My company has a policy mandating that any sensitive (which is clearly delineated) material be sent via encrypted email.
If you use IMAP, you don't have to worry about losing a connection to the server or not being able to see emails while on an airplane, off the internet, etc. You can configure your setup to keep a local copy of what is on the server (which is basically what POP does anyway).
If you need security, use encrypted email. Or accept that it is not secure. Or use your own servers -- archive all your POP emails up until now, going forward switch to IMAP on your own email servers. But keep in mind that while that email is traveling between your servers and your clients, those routes are through the open internet and can be intercepted and viewed by scores of people or entities. That's how the internet works.
Yes, you can avoid the "IT maintenance job" by using an email provider, but any such email provider, unless encrypted, is not secure. You basically will get what you pay for.
Your current setup tethers you to a specific platform(s) and specific OS that can run a specific synchronization utility. That makes you vulnerable. A more modern approach is to use software that runs across multiple platforms and uses open standards that work on different hardware and under different OS. What you are doing is like driving a very old car and hoping that someone keeps its obsolete parts in stock. Which I totally understand: my wife's car is 20 years old, she likes and won't let me replace it ... but it is in the shop now, what was a routine 1-hour service turned into 3-days while we wait for a $10 part that it needs to be located and delivered.