I will like to use the build in tuner - so I dont need to have some sort of box attached. Is it correct if I use the tuner, that I then can watch tv on my computer, iphone and ipad - AND changes between the stations from any of the sources?
You can use the built in tuner connected directly to the wall, but if you also have a cable box, satellite receiver or a DVR; you can control it locally or remotely since it will use the IR cable to send the signal.
At my workplace, I will juse the sling function a lot, therefore I thinking to get a slingcatcher there, so I dont need a pc to watch tv - Is it correct understod of me, that if I connet a slingcatcher to my tv there (and internet of course) - I then can pair/connect the slingcatcher with the slingbox, so I can watch tv with that, like its was a local tv tuner there is connect to the tv (control the sound, changes channels and so on)
Basically with the SlingCatcher, you will have the same features like the ones that you have on your computer, change channels, turn off/on the TV source at home, etc.
I also have a Windows 7 Media Center, is there anyway to get the signal into that (fx with a slingcatcher) so I can record the signal?
Ore is there another way to record the signals from the slingbox?
This feature is not supported (record video/audio using the computer), but you can make it work with the Windows 7 Media Center, take a look at this thread,