Given all the controversy over the older style Rem. triggers (been there, had it happen to me), replacement with a good aftermarket isn't a bad idea.
If you do get them adjusted, make sure you only have it done by a REAL gunsmith who knows what he's doing! For that matter, anything at all to do with a trigger, including replacement and set up, should be done by a REAL gunsmith...if for no other reason than not saddling yourself with issues of liability in the event of an unfortunate event that a lawyer will stick up your unowhat!
Shilen makes a nice trigger for the Remington, too.
Most gunsmiths stock aftermarket triggers for Remingtons, and will install them and tune them for a pretty decent rate. Last one I had done, a Shilen, cost about $130 ready to go.
IMHO, cheap all things carefully considered.