Its going to be hit or miss with a PC and a home theatre considering your scenario. While movies will have Dolby or DTS sound which you will be able to bit stream to your home theatre via SPDIF coaxial or optical, games would always send uncompressed PCM stereo signal, meaning you wont get surround unless you use dolby prologic or such modes on your home theatre system. If you want surround on games, then you would be forced to use 3 stereo cables and using your onboard/dedicated sound card to send analog signals to your home theater. This will result in surround in games, but then you will not be able to bit stream DD or DTS on movies. You will get surround dont get me wrong, only it wont be digital. Only the logitech out of the three systems that you mentioned supports both analog and digital signals.
So if you want surround in gaming as well as movies, your only option is logitech system, connect your pc to the system with analog and digital and then keep changing the source in home theatre and windows control panel according to your scenario. Digital for movies and analog for games.
I have no experience with either of the three systems, but i believe that since logitech is made keeping in mind PC enthusiasts, it would bass heavy. The other two would ideally suite movies and music.
Other things to consider: Does your PC have SPDIF coaxial or optical - most motherboards have a internal header only
I would advice to save up a bit more and go for professional systems like yamaha onkyo marantz and denon. then you can directly connect your PC, gaming consoles and tv via HDMI and bet stream audio. Here also the digital vs analog dilemma will continue. But they will be more future proof then the options that you mentioned.
I personally use Yamaha YHT299 homtheater system to which my PC, raspberry PI and bluray player are connected