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I don’t know what area you are in, but I would look for something like this.
http://accessindustries.com.au/business-operations.html
Health Products & Pharmaceuticals
The ‘Clean Room’ located at Prospect Hwy, Seven Hills is a modern facility that is licensed to perform secondary packaging of products approved by the Therapeutic Goods Administration (TGA) for human consumption and the The Australian Pesticides and Veterinary Medicines Authoriity (APVMA) for animal health.
We operate under GMP conditions, with modern automated packaging machines supported by a large flexible workforce to ensure maximum efficiency.
The facility has the capacity to store up to 60 pallets and accept semi trailers for pickup and delivery.
A number of disability services employ people to pack items which might suit you. Have a look in your area.