In the USA there is a after market hitch kit made by Curt manufacturing, with 1.25 inch receiver. It is a class 1 hitch, good for carrying 100 pounds dead weight or for towing 1000 pounds rolling weight. The hitch is made so that the only thing that shows is the receiver, the rest is hidden above and behind the bumper guard. I paid about $150 and self installed in about 1.5 hours. It bolts on to the car structure in 4 places on either side of the spare tire well. It requires no modifications to the car except to slightly bend the soft aluminum heat shield that surrounds the gas tank.
I have a bike rack that mounts under a hitch ball I use. You have to pull a pin, and fold the bar down and back away from the trunk before opening or closing the top. These types of racks were originally made for SUVs with lift gates so you could open the lift gate without taking the bike rack off.
If you google search Curt Hitch Volkswagen Eos you will find several sites that sell them in the USA. The fold down hitch mount bike racks are widely available.
If you have something like U-Haul in Aussie Land then you may be able to get this there - U haul dealers in the USA sell and install these sort of hitches at reasonable prices.