Rocky Mounts bike racks are way cheaper than the models from Yakima and Thule. The RockyMounts racks might not have as many features or not be quite as quick to load and unload the bikes from the bike rack, but my time isn't THAT precious that I can't spend a few extra seconds or whatever making sure my bikes are properly mounted on the RockyMounts bike rack. I use the
Rocky Mounts Lariat SL bike racks. They are really cheap, come in all kinds of crazy colors and allow you to carry a road or mountain bike. You will need the RockyMount disc brake adapter accessory if you carry a mountain bike with a disc brake or really funky shocks. The disc brake adapter just connects between the fork block and the bike tray to provide extra clearance for the shocks and disc brake. Also if you have really wide mtn bike tires for downhill or freeriding or something then RockyMounts also offers the Rocky Mount Lariat SLX version. This has a wider bike tray for the fat rear tire.
Also I assume you know that you'll need to also mount a base roof rack system onto your 2006 Toyota Corolla rooftop first. This base rack system provides the foundation, including the two crossbars that you will connect the Rocky Mount Lariats to. RockyMounts doesn't make a base rack system unfortunately. They only make aftermarket bike racks that connect to the base rack cross bars from Yakima and Thule. For your car you'll need either the
Yakima Q Towers complete base roof rack system or the
Thule 400XT Aero complete base roof rack system, whichever company floats your boat.