From what I can tell people tend to approach this in two formats- uninformed and overly cautious, or uninformed and overly reckless.
I would suggest making an effort to not touch surfaces with your hands or frontal areas of your body you tend to touch with your hands, and certainly avoid touching your face (one of the benefits of a mask is it makes it more of thought-out exercise to touch ones face, making it easier to avoid doing so). Once you get back to your own home, I suggest you remove your outside clothing, wash your hands thoroughly, and then put on an indoor-only robe or such outfit- unless you are like me and have no problem walking about your house in your undergarments. Sitting on an outside bench, for instance, provides a very mild risk if you don't touch it with your hands and then touch your face- a more substantial one if you do- and keep in mind that many of you probably use your hands to help yourself up when you stand.
I also suggest, especially for people in that last category, a cane or walking stick. I walk with a cane (I need one), and they provide many functions people don't think about. You can touch a handicap-access pad to open a door with the tip of a cane. You can push all kinds of buttons with the tip of a cane, actually. You push open a push-door with a cane. You can use the shaft of a cane to open many pull doors by inserting it into the pull handle and pulling on the upper part of the shaft. You can use it to help measure appropriate social distance- two cane-lengths is about six feet for the average person. You can use it to rest on instead of a public object that could be contaminated. And you can use it to help lever yourself up from a seat without touching anything else.
If I were you, however, I would stop worrying about shared air-ducting. Air-conditioners blow air through the system creating positive air pressure, which means that it blows air into the rooms it serves, but that duct does NOT pull air out, so air from room A is not going to be delivered to room B from it. It could potentially move air between the rooms when the entire system is off, but that will be at such slow speeds and rates, you might as well be outside, and the travel distance between you and the next room via those air ducts is going to be quite a distance- 15-20 feet minimum.
There is such a thing as an air-return duct, though not all systems use them, but those things utilize negative air pressure to pull air out of all room and take it to the cooling system- but those, when functioning, will be pulling air out only. They can pose air transfer between rooms when off, but again, the travel distance of the air from the mouth of person A, to the return duct, through the ducting, to the next rooms return duct, and then from that return duct to person B's mouth is going to be quite long. Think of how far you are from the duct, realize that on average the next person is going to be that far from the duct, and that the distance between ducts will also be large.
As for processing THROUGH an air-conditioning system, air conditioning cools air primarily through evaporative cooling- it removes moisture from the air- that's why the units drip. The air being moved out of an A/C unit is not going to be suitable for supporting a living virus.
People either tend to disregard their safety entirely, or tend to be fearful of things they don't need to be fearful of. The virus is real and dangerous- but a lot of the things people fear are not part of the actual problem. It would be fairly accurate to say that if you aren't touching a contaminated surface, and you can not see a person, they are generally providing you no present danger. Breathed upon food is generally not particularly dangerous either, as the gastro-intestinal tract is probably the most hostile-to-virus parts of your body (bacteria is another matter), although it is better to avoid such if you can.