If you keep the first number (circumference) the same (ie: 225 /75/15) and just change the second number (aspect ratio) to a 70 or 60, then you will lower your car by a little bit (maybe an inch or so) and your speedometer will read faster than you are actually going. This don't really make much difference in the city, but can throw you off a fair bit on the highway.
If you have enough room in the wheelwells, you may be able to go up one size on the first number, while you go down a notch on the middle number. This will create a wider contact patch on the road, without throwing off you speedo.
One way to see how much a tire size change will affect the speedo reading is to determine how many revolutions/mile each tire size will have. You would want the rev/mile to be as close to the number of the original tires.
There is plenty of information on tire sizing the the tirerack.com website. There are also plenty of websites that can calculate tire size differences for you.
Hope this helps more than it confuses.