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I had a similar set up to yours (old wired thermostat controller) and it was easily solved with the standard Wired Tado unit, the wireless hub that plugs to the internet router and some rechargeable batteries for the Tado valves.
I am no wizard and with the Tado manuals and a couple of questions to their support team (they are super helpful!) it was all sorted in a couple of hours.
It is worth taking pictures of the cabling in your current setup and download the manuals the wired thermostat if you can to confirm what each colour cable does. Then you can easily use the information to choose an installation route in the Tado manual and/or ask their support team.
P.S: it is worth expending extra in good rechargeable batteries
In case you didn’t know the next version called Tado X is available in Germany I think but not here yet, I’d expect it to be released here at some point soon.
It uses thread/matter for communication and the trvs have a rechargeable battery.