Geepers, Why didn't you list the year and specific model of the Toyota? As you know, new Toyota cars all have McPherson struts which double as shock absorbers.
If your specific model has a sport suspension as listed on the sticker on the window when it was new, all you can do now is *change the struts, coil springs and anti-roll bars from a model without the sport suspension. For instance: If you have a SE Camry, change out *all the parts above from an LE Camry.
You must change out all three of the above parts, not just one or two. The reason you shouldn't change struts only is because the car will bounce around too much because of the *high spring rates.
*Coil spring rates are measured by how many pounds it takes to compress the springs one inch. Cars with special sport of handling packages have higher rate or stiffer coil springs. Whenever stiffer springs are installed, the struts and or shock absorbers are required to have a higher valving rate to control the more rapid harmonics (up and down movement) of the stiffer springs. The anti-roll (sway) bars are larger diameter to reduce car body roll when going around corners.
Check tire pressure as listed inside the drivers door. Compare with actual tire pressure. If the actual air pressure is higher than factory recommended it raises the total suspension spring rate and makes the car seem to ride more harsh or stiffer.
I'd like to converse with you further to hear what specific car you have and what steps to take to help you most.
Not to confuse you further, Toyota's have variable rate coil springs. This means they gain spring rate the more they compress. The spring is wound closer together on one end for a softer ride and further apart on the other end for a stiffer more harsh driving experience.