I liked the method described in "Old Man's War." It wasn't teleporting exactly, but the premise could be used here too. The consciousness of the person was being transferred to another body and during the process, The singular consciousness was aware of being in two places for a short while.
Dark Matter (the other one: the Canadian sci-fi show) had something called Transfer Transit kinda like that.
They scan you and rapidly grow a clone at your destination with all your memories. Clone has like a 3-5 day lifespan, but is otherwise "you". It goes and does whatever you planned to do at the far end.
The main you stays behind and does whatever until the clone returns to a Transfer Transit pod on the far end. It's memories are then uploaded to you and the clone disintegrates. You now " remember" everything the clone did on your behalf as if you did it personally.
I really liked that for how it allowed for interesting story telling. The clones can die without actually sacrificing the characters but there's still fairly high stakes because the originals won't know what happened while their opponents do.
Really sucks that the show got cancelled, especially on that huge cliffhanger.