@leedigings2
A house or an apartment?
Summers here are long and hot, so air conditioning is desirable/necessary. And as AC units can both heat and cool, this is a very popular option. Indeed, for most apartments this is perhaps the typical option. As these ACs heat and cool, they are heat pumps. However, most common is split AC units (I.e. per room), rather than large heat pumps for the whole property.
For a house, there are many options. In our village house, we have several splits (including a big one for the living room) together with a standalone pellet stove in case it gets really cold. I've decided I don't like the pollution and aggravation of wood-burning stoves or pellet stoves. The ACs are cleaner and easier. However, many folks love wood burning stoves, and it's quite a common option in village houses.
Your wood (or pellet) stove can be standalone, or it can be connected to central heating and radiators. (And it can be an ugly central heating-only one for a separate boiler room, or it can be a pretty living room one with a back boiler for the rads.) I reckon this is the most common central heating method in Bulgaria. Oil is possible (but not very common), as is gas. There is not a lot of mains gas here, especially in villages, but you can bury an LPG tank in your garden (a bit pricey).
A big heat pump is also possible, using air or ground. I'm not sure you can drive radiators, I'd imagine it's more typical to have ducted air or underfloor heating.
My nearest neighbours all have central heating with radiators. One is by pellet stove, one is by wood burner, and one has recently installed a gas boiler with buried tank. My well-drilling neighbour nearby is very handy and he built himself a new house of 200 m2 using SIPs, and he installed a ground-effect heat pump with underfloor heating. I reckon the cheapest option is a standalone wood burner (or pechka) which is very common here, and folks chuck one in the kitchen/living space and another in the bedroom.
Electric radiators are a thing too, but they're expensive to run.
Given my aversion to wood/pellet stoves, I've decided that I'm going to put in more split ACs, but make sure they are WiFi compatible so I can control them via Alexa or similar. And I'm planning to put a few kW of solar to contribute to the cost of running a bunch of units (even in Bulgaria, running 4 or 5 AC units will generate a hefty bill).
I recommend uPVC double-glazing and external insulation too, if you haven't already. Pretty much anyone renovating a traditional village house will do these upgrades.