There is one potential drawback to just replacing springs without having the sears better fit to each other. If there is some creep in the trigger let-off, lighter springs will exaggerate that play, making it more obvious than before. A higher pull weight will require more effort to release the hammer and hide the creep because the sears won't move until the pull weight is reached and then they move right through. Less pull weight allows the sears to start moving before the release weight is reached.
Timney makes a trigger kit for Remington 870 and 1100 shotguns that consists of an adjustable sear and three pull weight springs.
I installed one in a new 870 Super Slug back when that model first came out and just for grins, tried just replacing the spring. The result was a horribly sloppy trigger so I put the new sear in and the trigger became very rifle-like, just as Timney advertises.
So don't believe that a different spring or springs will cure all your trigger ills. Sometimes a little gunsmithing will be required since adjustable sears are not available for many guns.
Ed