I just suspect that this sentence is a little unnatural.What`s your opinion as a native speaker?

From news broadcasting on television, we know what is happening in the outside world without stepping out of our living room.

I just suspect that this sentence is a little unnatural.What`s your opinion as a native speaker?

I just suspect that this sentence is a little unnatural. What`s your opinion as a native speaker?

 I think your original sentence is very close to what a British native speaker might write.   I do not think, however, that any British native speaker would ever believe such a statement!  Changing the word order doesn't make it any more natural but you could change the emphasis by changing the order of the three sections of the sentence.  If you look at the changes suggested below you'll see they are mostly about leaving things out, but you do need an 's' on 'room' because 'we' is plural and so logically there will be more than one living room.  You don't need 'with the television in it' at all. 

 From news broadcasts on television, we can know what is happening in the outside world, even without stepping out of our living rooms.

I just suspect that this sentence is a little unnatural.What`s your opinion as a native speaker?

We can know what is happening in the outside world without even stepping out of our living rooms by watching the news broadcast on TV.

From the news broadcasts on television, we can know what is happening in the outside world even without even [your placement of the word even was not wrong, but I think it sounds a bit more natural in this position] stepping outside of our living rooms. [I added an s to make it plural because we are not all in one living room.]