We're selling a house my mother-in-law had (she died last year). It is what we call a "core-floor" construction: single floor structure on a solid poured concrete slab, with an array of heating water pipes in the slab. So heat is distributed via the floor throughout. Heat source is a small med-efficiency furnace (some call it a "boiler", but it does NOT get water anywhere close to boiling) with powered damper in the flue and electronic ignition system, fuelled by natural gas. It has a small circulating pump to move the heated water through the pipes, and an automatic system that purges any air and ensures the system is refilled from the water supply for small losses. The house was built this way in the 1940's. We live in a colder area, along the north shore of Lake Superior.
A very significant factor for this type of heating is response time - it is VERY slow to make changes in the house temperature (several hours for a few degrees). To some this is a plus: very stable temperatures at all times. To some it is a minus: can't make any quick changes. For her, it was the latter. As a small elderly person her body temperature sensing system was fluctuating, so she alternated between feeling too cold or too hot. She never did understand the response time thing, so she would jack up the thermostat about 6 degrees, complain it was not getting warmer, and then a few hours later drop it about 8 degrees because it was too hot. Etc. Eventually she stopped that and bought a small electric heater and put it next to where she sat in the Living Room so she could change things in her immediate area quickly. This factor is not really a problem if you understand it and accept, but she did not. I really suggest at timed set-back thermostat is not a great idea in this system. And of course, you cannot add a central A/C system to this design - it has no air circulation facilities at all.
Another small point related to response time and maybe heating efficiency / costs. It is recommended that you do NOT install heavy floor coverings like thick carpets in such a home, because that slows down flow of heat from the concrete slab floor into the room. Many such homes have tile or sheet flooring. My mother-in-law's had an old shag carpet in the Living Room (not recommended), but it still worked just fine.
Over the years she had the furnace serviced from time to time by a contractor, and once in about 40+ years she had it replaced. But it is virtually impossible to do any service work on the pipes embedded in the floor. That is the one item service people caution about. In such systems, eventually (who knows when?) one or more pipes will develop a leak that may become large enough to cause real trouble. They tell stories of such systems in houses of that age that suddenly show a wet area in a room floor, or even water draining out from the side of the house. If that happens, the only real solution is to abandon that system and install something else. However, considering the number of such homes built around here in the 1940's and later, there are not a large number of known failures yet. I'm guessing the most likely causes are corrosion or plugging by hard water deposits of the pipes (depends on your water), and stability of the soil under the concrete slab.