Also: I don't have a problem with the setup being complex. I run Home Assistant myself and am fairly technical. It's just the end result that needs to be simple.
Home Automation
Home automation is the residential extension of building automation.
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You need boiler control if that is what supplies the heat if you want to save money.
Given your requirements, an off the shelf solution would probably be better. Evohome is what I would recommend. I have had it for over seven years and it just works. App control of you want, but I don't touch mine other than to turn it on in November and off in April.
You can get a controller for each room, which will also double up as a thermostat for the room, telling the coordinator to call for heat.
I’d also take a look at the Fibaro TRV valves, but to get app control you are looking at some form of ZWave gateway.
About 8 years ago we installed a Honeywell evohome solution in our home (and later at work)
It radically improved comfort and slashed our heating bills.
After setup the only maintenance is changing the batteries in the valves at each radiator
The schedule can be managed remotely if the user needs assistance but once setup it just works.