In the countryside, landscapes are usually taken with wide-angle lenses to capture the full view. In urban landscapes you are just as likely to need a short telephoto lens to isolate small areas of rich detail.
The wide-angle-to-telephoto zoom of most Canon IXUS and PowerShot models is ideal for urban landscape photography. Make full use of it to vary your images. With EOS cameras, lenses such as the EF 28-135mm f/3.5-5.6 IS USM or EF-S 18-135mm f/3.5-5.6 IS will give you the flexibility you need for this type of work.
Whilst a tripod may help keep your camera steady, if it is not allowed then a monopod is a good alternative. This is a single extendible pole with a camera mounted at the top. It will stop the camera moving up and down, though there can still be a little side-to-side movement.
Some Canon compact digital cameras feature Image Stabilizer (IS) lenses, and both the lenses mentioned above for EOS cameras are IS models. Canon’s Image Stabilizer system uses gyro motors in the lenses to sense movement and a ‘floating’ element within the lens counteracts the movement of the camera, ensuring a steady image.