We are not able to pick up your box and reuse the packaging.
The box itself and most of the packaging ingredients can we recycled along with household goods.
The insulation is made out of recycled PET, PET is made out from plastic bottles & food trays, you will need to check with your local council if this can be recycled.
You can check recyclenow's Recycling Locator to see what you can recycle in your area.