For me, as an amateur photographer, the camera's sensor size is a consideration. Not the only one, but I have preferences based on my experience. Obviously, the larger the sensor, the more information will be included in the image, which allows for capture of sharp detail, ability to crop without destroying image quality, and the option to make really big prints. And of course the largest sensors are in the big and expensive cameras. IMO, unless you're a pro photographer who often sells huge murals to interior designers (I know a guy who IS), you probably don't need all that. But it's fun to play with!
At the tiny sensor end of things? I've taken some fine photos with my mobile phone - the Pixel 2, which I just traded in for a Pixel 3 so I think the trend is good to continue. I even have a 2' x 3' print on canvas of one of those photos - BUT it's an abstract created by using a long exposure app and moving the camera over some brightly colored objects. I haven't tried having any of my non-abstract phone photos printed that large.
At the large sensor end of things I have a Sony mirrorless with a "full frame" sensor and that thing can do magic, I swear. It's not as big as a DSLR with the same size sensor, and with a small 35mm lens on it, it's been a good but not tiny travel companion.
My "sweet spot" for a compact "point and shoot" camera is the Sony RX100iii, which has already been mentioned. The sensor is large and good enough (a 1" sensor) that photos can be edited and cropped without degrading image quality. The controls on the camera are more sophisticated than a $150 "point and shoot" camera. I have also used, and really like, larger/heavier "bridge" cameras with 1" sensors and superzoom lenses (Panasonic FZ1000, Sony RX10iv).
I've used some excellent Panasonic P&S cameras in my day. I'm sure the FZ80 is a good choice. But if you're used to a DSLR, I'd see if you could try out the two cameras you mentioned. Because their sensor sizes are much smaller than the DSLR you're used to. You should see how much you can enlarge photos from those two point and shoots before you hit their limits. You may find they fit your needs just fine.
Just a few numbers based on Google searches.
A Nikon DX DSLR (APS-C or crop sensor) has a sensor area of approximately 24x16 mm (area 384 sq mm).
A Nikon FX DSLR (full frame) sensor measures 36x24mm (area 864 sq mm).
The Sony RX100iii (and other 1" sensor cameras) have a sensor approximately 13.2mm x 8.8mm (area ~ 116 sq mm).
The Lumix DMC-FZ80 and Nikon P900 have a 1/2.3" sensor with dimensions of 6.17 x 4.55 mm and sensor area of 28.07 sq mm.
My Pixel 2 camera's sensor was a teensy 5.5mm x 4.1mm (area of 22.5 sq mm, lol!)