I completely agree with the above poster. We have traveled with family several times and have found that it works better having our own space. People's personal habit you don't see every day can get really annoying by day 4 and really impact your trip and even your relationship with the other person. With that in mind, I will give you my 2 cents (for what it is worth) about the moderates.
We have stayed at POR and really enjoyed it. The landscaping is beautiful, the food court adequate, and the pool is fun. They have the boat to DTD, as does the POFQ, and a lot of extra activities. It is big. That is the draw for some to POFQ. The size of POFQ is significantly smaller and if you don't mind walking you can get the same services at the POR and the boat has its own stop for POFQ. They are sister resorts and share amenities. The whole Port Orleans area is supposed to resemble Louisiana. You have the Cajun bayou (POR Alligator Bayou section) that opens up to the plantations (POR-Magnolia Bend area) and a little ways down the river you head into town in New Orleans (POFQ). If that appeals to you then go for it. We really enjoyed it except for the transportation. It can get really packed (the two resorts often share buses) so we go here when we have our own transportation.
Caribbean Beach has an entirely different feel as it is intended to have. It is intended to resemble a Caribbean getaway and feels like it. It is HUGE. You can reserve a Preferred room that gets you next to the food court. We just requested the Jamaica area and walked across the island to get to the food court. They have similar amenities to POR but the theming is different. The transportation is an issue again but mainly for its size. It takes FOREVER to get all the way around with multiple stops. As long as you have the patience for it you should be fine. It can get old late at night after a long day at the parks.
One thing you might want to take into consideration is age. I am not sure how spry your over 60s are but Disney can be draining and it might behoove you to choose something close to the main area even if the cost is a bit more if you have mobility issues or any health issues. I have had close rooms and far rooms and it does make for a totally different vacation. I ran a lot of errands for elderly people in my group when we left it to fate and got far rooms. Not a lot of fun after a while. I learned my lesson and when we stayed at the Yacht Club with my mom (serious mobility issues) I was careful to request a room close to the lobby. This allowed her the freedom to do things for herself. Totally different experience.
All in all, you can't go wrong with any of them, it's Disney. They do a fantastic job. Just find the one that best suits your family and lifestyle and go for it. If you do decide to go Moderate and get two rooms make sure they LINK your reservations. This was you can try and get connecting rooms as opposed to adjoining. This allows you to have an inside door that opens between the two rooms to allow a little more family time. Good luck!