Pointers are:
i) Use a tripod. No matter how steady you think whatever support you are using, it will never beat a tripod.
ii) Shoot at Low-ISO, if your camera allows you to shoot at exposures longer than 1s. My Ixus does.
iii) Use a 2s self timer so you can get your hands away from the camera. Don't touch the camera for the duration of the exposure, as even the slightest tap will render lots of motion blur.
calebk hits the nail here.......
TS..... if it is building or scenery you are shooting.... try shooting in Tv mode.
1) Put camera onto Tripod and compost your photo.
2) Set the Time Value (Tv) to less then 1/15 of a sec..... you could try even less.
3) Use the 2 or 5 seconds timer to take the shot.
4) Review the photo and change the Tv higher or lower for difference effect.
But Tripod is a must for this......