I don't think that degree of precision or accuracy will be readily attainable or even desireable.. In my experience, the temperatures are a guide, and in practice it is a case of setting the thermostat so that the room feels comfortable for you, and the temperature at the thermostat may not (will not) be the temperature throughout the room.
And that tolerance of control is not realistic either. Too tight and the heating source will be cycling on and off continualyy, and the thermalk lag of the room would make that degree of control unrealist anyway.
As for makes, anything by ACL Drayton, Horstmann, Honeywell, Pegler or other well known brands will do the job
Suppliers in the UK... I have just bought a new heating progarammer from www.heatingcontrolsonline.co.uk who were the lowest cost for the programmer I wanted, and gave fast and good service. Other suppliers such as www.plumbnation.co.uk were cheaper for other products, so it pays to shop around. Both those firms' websites might be a useful starting point to identify a model that will suit your needs.
Googling Central herating thermostats will give you more useful links.


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