the spring rates differ, so i assume the shocks will be designed to compensate for same..dont quote me on that though.
coilovers do not "give a car a stiff/rough ride" .. just like regular springs and shocks, there are coilovers with different ride properties and it would be best for you to do some research on this before purchase
they will, however, give the car a firmer ride than stock..i started on coilovers a few yrs ago and never looked back
coilovers:
tein basics will give you that nice smooth ride without being too harsh
some models tanabe as well
drop springs:
i recommend tein h tech if u wanna get lowered without it being stiff..megan racing is supposed to be good entry level as well
but at the end of the day, do some research on spring rates and how they affect handling before you make your decision