Hey, welcome to Perth... sometime within living memory we copped a tag - Dullsville. For aged crones like me this seemed a boon for the boomtown, it held the promise of a few more years living in blissful obscurity (I've been thinking of moving to Lake Grace if things get much busier). Even a hardened poetry reading addict like me will confess that if you measure our indoor culture; the visual and performing arts, food and nightlife, using the same criteria as larger less isolated urban centres like say, New York, Sydney or Timbuktu, Perth can look a little light on.
This misses Perth's point though, to wit, get out of doors. Beaches are regarded by many as our strong suite, but that idea falls to pieces sometime between 10AM and 2PM when the "Doctor" comes tearing in. The Fremantle Doctor is Perth's Mistral. Except less delicate; exfoliation doesn't begin to describe the blast you'll get.
Riverside is where you'll want to be. It's a wide river, but it isn't deep; you can wander about in much of the Swan without getting your elbows wet. Who cares though? You're probably not thinking of swimming in it and the sailors look just as good bobbing round in the deeper bits as they do when they've run aground. One of Perth's flasher boating locales is Royal Freshwater Bay Yacht Club and that is where this ride begins. Taking a leaf from DPI's safety first book these round the bridges rides all go clockwise to minimise risky right turns, feel free to ride upstream from the club rather than down.
For the south of the river sections you can choose between mostly very good bike path or quiet on-road riding all the way from Fremantle Traffic Bridge to Canning Bridge. From Canning Bridge to the city it's bike path only. The bike path is good, if busy.
North of the river from the city back to Freo is spotty. Sticking to the paths can get you in a bit of a muddle especially as you ride through the City of Nedlands. Sticking to the roads can put you close to some fast moving traffic, particularly from the Narrows Bridge to UWA.
Most of the ride is follow your nose stuff, but there are a few options in the Fremantle to Point Walter and the Narrows to Mosman Bay sections. The other sections are detailed here; Mosman to Freo, Pt Walter to Canning Br and Canning Br to Narrows.
By bike, just ride in from home. If you don't live close enough you can find carparks with easy parking at or near Tawarri Reception Centre in Nedlands, Point Resolution Reserve, Dalkeith, McCabe St Mosman Park (by the tennis courts), East St Jetty and Point Walter. You can also park at these though they can get pretty busy in warmer weather; Matilda Bay, Keanes Point, Bay View Terrace, Minim Cove, East Fremantle by Zephyr Café, Barrack St Jetty and the Old Swan Brewery. The easiest train access is Claremont, Mosman Park, Victoria St, North Fremantle and Fremantle on the Fremantle Line. Take the Mandurah Line for Esplanade and Canning Bridge Stations.
Two Bikely maps here;
The first is an on-road training circuit. It has a couple of short stretches that expose the cyclist to heavy traffic on Stirling and Canning Highways. And it's on shared paths between Canning Bridge and UWA, because it's illegal to cycle on the freeway and unless it's quiet it's crazy to ride on the de facto freeway that is Mounts Bay Road.
The second takes the path option wherever it is available. Sadly the The Shire of Nedlands and the Towns of Claremont and Peppermint Grove planners have not seen fit to provide separated paths through much of their patch. You'll be obliged to ride on the road or footpath for several kilometres between the eastern end of Jutland Pde and Royal Freshwater Bay Yacht Club. Where there is a choice between two paths, this route takes you on the one closer to the river. Where there isn't a path this route follows the road in preference to the footpath.