Hi @Audioseeking
Welcome to the Sonos Community!
You have not given any indication of budget, so I’ll just throw some ideas out.
You said “especially for TV”, so lets start there. The Sonos Arc Ultra is our flagship product, and is recommended for larger TVs and rooms. By itself, it delivers Dolby Atmos 9.1.4 audio, but once you add surrounds and Sub(s) to it, this becomes even more enveloping. Add two Era 100 or Era 300 speakers as surrounds, and Sub(s) or Sub Mini to complete the set. You can buy them all as a set, should you wish. There's also the smaller Beam Gen 2, which is still Atmos capable, but contains fewer drivers.
As the back of your sofa is fairly open, I would recommend installing power sockets in the floor if you can’t hide power cables under the sofa, yes. None of our battery-powered speakers support being part of a Home Theatre setup, so power will be needed (unless you were to opt for a Sonos Amp to power passive speakers at the back, but you’d still a cable for each)
For your other named rooms, it depends on what you want - if you want each room to be filled with sound, I’d recommend a pair of speakers for each room: Era 100, Era 300 or Fives. Obviously, the bigger the speaker the bigger the sound. If you just want background music, one speaker may suffice. Importantly, Sonos systems are modular, so if you decide one speaker in a room is not enough, just add another at a later date! Or, if two is too much, move one to another room somewhere.
For the Kitchen, I’d recommend a speaker with a microphone for Voice Assistants - the Era 100 would probably be best. Or a Move 2, for it’s portability.
I hope this helps. If you have any questions, please don’t hesitate.