@tanguatlay,
It has been/It's been six weeks since the bins were emptied.
It is (or it has been) six weeks since the bins have been emptied
If you use the simple past tense, since the bins were emptied, you are thinking at that moment of the last time the bins were emptied. If you use the present perfect tense, since the bins have been emptied, you are thinking of the gap in time since the emptying of the bins.