Seeing Sydney can be a bit exciting for a new visitor. You see the Opera House, the Harbour, the Sydney Harbour Bridge and all the winding Sydney streets that make it a bigger and different city from Melbourne or Adelaide or Perth.
Located in the The Rocks area of Sydney, Sydney Bike Hire allows you to see all the main tourist attractions of Sydney at a leisurely pace. You can cycle your way around the City sites, the Museums, see the Art Gallery of NSW, go across the Sydney Harbour Bridge and cycle around Lavender Bay or take the path through the Darling Harbour district and experience the superb seafood at the Sydney Fish Markets. The Rocks itself is steeped in Convict and early British Australian history. Nestled amongst the historic buildings and cobbled pathways are the Rocks Markets, pubs, cafes and restaurants and of course, Sydney Bike Hire.
Sydney Bike Hires Self Guided Tours are all on their map. There are three main cycling tours that Sydney Bike Hire offer, each divided by distance, degree of riding ability and expected completion time. For example, the Sydney Opera House and Hyde Park ride is 7km in distance and the travelling time (not including stops) is 1 hour. The degree of difficulty is beginners. Take as much time as you like on each of these tours and experience Sydney.
If you have decided to hire bikes and take in Sydney from a different angle, try one of the self guided tours. If you choose the Opera House and Hyde Park tour, you can cycle around the Opera House, take the path through the Botanic Gardens (some of this you have to walk, or there is a big fine - be sure to check which paths are for walking only). Take in the Sydney Harbour views and ride around the Woolloomooloo side of the Gardens. Then, up to the Art Gallery of NSW, the Cathedral and Hyde Park. The Australian Museum and Convict Barracks are also in this area if you've the time to take them in.
Another option is to head off in the other direction away from the busy city through the Darling Harbour area, past the Maritime Museum, to the Sydney Fish Markets for an amazing seafood lunch and then cycle back leisurely.
There are spectacular Sydney Harbour Bridge views to be had if you choose to ride over the Sydney Harbour Bridge to Milsons Point and Luna Park. Take in the sites from across the harbour, peddle around Lavender Bay or cycle to Kirribilli.
You don't have to go off on the routes laid out in the map though. It's a bike hire company, not a guided tour. You may hire a bike and go wherever you like with it. There are a few websites that promote cycling paths in and around the City of Sydney. Sydneycycleways is one such site with an excellent map of extended cycle paths and other links.