An air conditioner already is a heat pump
You'll be getting a heat pump with every option you are considering.
The only difference is, an "Air conditioning only" heat pump is simply a normal heat pump with the reversing valve deleted. And with crud 15 SEER efficiency, which makes no sense because you'd expect them to be optimized if they only go one-way. It really makes no sense, but these things are simply continuations of a 1960s design. They are as cheap as they can be made, hence no reversing valve.
Unfortunately most HVAC contractors are conservative folks who dislike change (and so are the manufacturers who they are licensed dealers of)... and most of the industry would be perfectly happy if their great grandchildren in the year 2100 were selling forced-air gas furnaces with 15 SEER non-reversible A/Cs. So it's no surprise that HVAC contractors are not leading the parade and banging the drum for next-gen technology. Change costs money.
Ducts are very, very bulky and will affect your home
A duct is a 6 to 10 inch diameter pipe, or a 4 x 14" box. These are huge passages and they are difficult to add to a house without affecting its aesthetics. Even if you have basement and attic in all the right places, the "Duct-o-pus" will dominate it - and that will also force you to have the intakes and outlets on the same level, which is not ideal.
Ducts are better built into the home at time of construction. It is possible to achieve your goals and avoid ducts, so you might consider it.
The A/C units you're shopping for are designed to work with ducted, forced-air furnaces.
That is, they are designed to piggyback on top of the forced-air furnace. Above the furnace is an "air handling stack" where things like humidifiers, HEPA filters and air conditioner evaporators can be stacked before the airflow goes into the massive ducts.
And so, A/C is a real smooth "bolt-on" on a fully ducted house, where the ducting is already in place for forced-air heating. In the North American market, every A/C contractor wants to sell you this system because it's cheap and well-understood. (well, it's cheap if ducts don't have to be added).
And this one type of system has dominated the industry for 60 years. Historically you are told "if you want A/C in your home, either use window or wall units per-room, or tear the house apart to add monstrous ducts all over the house so your heating can be converted to forced-air". Those were the options available to you prior to 2010.
The controls on forced-air systems are terrible.
It is difficult to fine-tune temperature balance from room to room. And much more difficult to the system so it is respectable both in winter and summer.
Remember, solar gain is a big part of heat management in your house. By winter, rooms that get sun are warmer and need less heat. But by summer, rooms and roofs that get pounded by sun are hotter and need more A/C, so the ducting requirements are completely different! This is why people who have forced-air systems often have window A/Cs also in those troublesome rooms. Trying to have a balanced system is just hopeless.
The state of the art has moved on
The newest units are of course reversible heat pumps, and also feature variable speed drive, to run quieter but more continuously, and get away from the inefficient "BANG-on BANG-off" simple thermostat controls of the past with their several degrees of temperature swing.
The other huge change for you is they've gotten rid of ducts. Now one popular option is to bring the refrigerant lines to head units in each room. And each head unit gets to be controlled separately, which nicely solves the balance predicament I mentioned earlier.
Further, the best new heat pumps work all seasons anywhere in America, without need for "emergency heat". Most of the time they are more efficient than gas, in two meanings: First they are carbon-better, because it is more carbon-efficient to burn natural gas in a power plant to make electricity to run the heat pump, than it is to burn it locally at the house (except in the lowest of temperatures, e.g. 100 hours during Chicago's cold 2019 season). And second, they are almost always more efficient than that, which means they may be cheaper to run versus gas. Certainly the ability to use the heat pump allows you to arbitrage the cost of the two fuels.
Also, they make heat pumps which interchange with water - so a heat pump could feed your existing hot water radiators if you desired. We're all in the realm of air-sourced heat pumps here... ground-sourced units are more efficient but the gap has closed to where it's not worth digging up yards anymore for refrigerant loops.