Do you put (quantities) of dog mess in your bin?

We have two dogs. A small old guy and a big energetic young one.

The old guy just has a shuffle around the neighbourhood twice a day. The young gal walks for miles through local woodland.

None of these places have dog poo bins so like a good citizen I bring them home and put them in the wheely bin.

By the end of the fortnightly bin cycle there is a lot of poop in our bin.

Is this actually allowed? Is it hazardous? What other alternative is there? Am I missing a trick? Is this what everyone does?