Green waste removal - the best way to do it in Melbourne?

Our new house has a beautiful garden but after we hired a gardener to take care of it, we were left with a lot of green waste. I really don't want to let it rot here. Do you have any experience with the companies in Melbourne area, offering garden waste removal?
It seems we have 2 choices (we just don't have the time to do it ourselves) number one a gardener or a company specialising in landscaping and gardening, that offers green waste disposal, or two professional rubbish removalist/skip hire.

I found these companies and I'll be happy to hear any advice and opinions on the matter:

Jim's
They seem to offer waste removal in addition to mowing and other gardening services. I think I can book only waste removal as well.
https://www.jimsmowing.net/rubbish-removal

Paul's Rubbish Removal Melbourne
They are rubbish removalists - after builders waste removal, old furniture removal, and all the likes. On their website I found a garden waste removal as well.
http://paulsrubbishremovalmelbourne.com.au/green-waste-removal/

WM Waste Management Services
The bin could be ordered online. They take green waste but I don't think we got so much waste to fill a bin up.
http://www.cheapestbinhire.com.au/

Eastern Recycling
They transfer the waste to where it will be recycled. It seems as a greener option, although all companies say they offer responsible disposing.
http://www.easternrecycling.com.au/

The Garden Center
On the second though, I don't think this is a good option for us. They offer disposal and recycling but no transportation.
https://www.thegreencentre.com.au/green-waste-recycling/