Probably the most important thing you can do to improve handling is to upgrade the tires. Spend some time on the TireRack web site and see what tires are highly rated for handling. Unfortunately, it seems all of the best handling (stickiest) street tires only come in the larger diameters. I wound up having to go to 18" wheels on my car to get the tires I wanted in the sizes I wanted. On the bright side, my new wheels and tires were about 10 lbs per corner lighter than my old ones.
As SDCoronet mentions above, what you are trying to accomplish and what the current condition of your car is will both affect what will work best for you. If your suspension is worn, I think getting it rebuilt to new condition could make a big improvement in your handling. After that, I agree that anti-roll (sway) bars are a great start if you don't already have them. New dampers (shocks) are probably also a good idea. It is pretty hard to tell how well dampers are working, so I went with the Bilsteins due to them being tuned for by B-Body and my assumption that the people tuning them know more about the topic than I do, and they have the tools to test them.
If you want to get deeper into the topic of handling, I suggest the following books: Herb Adams' "Chassis Engineering" and Fred Puhn's "How to Make Your Car Handle". Both are good reads on the topic.
A good front end alignment can make quite a difference as well and isn't very expensive. The stock alignment specs from Mopar for these cars were intended for bias ply tires and aren't the best for modern tires. Richard Ehrenberg's article on this can be found at:
https://www.allpar.com/threads/turn...ent-for-performance-on-classic-mopars.237041/
The "Skosh Chart" in the article gives some good values to use for alignment for various driving styles. For my Coronet, I went with the Max Performance Street settings and have been pretty happy, although I may go a bit higher on caster. That is with P245/40R-18 Michelin Pilot Sport 4s tires up front, so your best setup may be different if your tires are a different size.
Have fun with your car, what is it? Cheers!