Amsterdam Centrum Garbage Disposal

Hi David and welcome to the Forum.

That's pretty much how the whole of Holland does it.  You can buy grey plastic bags from the local supermarkets to place your waste in, while awaiting your next collection; many  apartment blocks have a central bin for rubbish.  Perhaps a quick e-mail to whoever is letting you the apartment will help clear that up (pardon the pun).

Recycling is also a big thing in Holland and you'll be surprised how little waste you have left once you've segregated the glass, plastic, paper and metal wastes out of it.  All drink bottles are recyclable (you pay a deposit on the bottle when you buy the drink and then take it back when you are finished with it for a refund).  Any build-up of wastes you can take to the local refuse depot (open Monday > Saturday).

To answer your specific question; I've never heard of private domestic waste collection companies in Holland, it's all handled centrally by the Council (Gemeente).

Hope this helps.