Sounds like you need a good inspection of the front and rear suspension......
It sounds like he's talking about coil assisted shocks, rather than true coil-over shocks.
Coil assisted shocks replace your standard shocks and bolt straight in, basically, they make up for crappy worn out springs. Personally, not something I'd use.
True coil-over shocks can be bought for our cars, but are not a direct bolt in...at the front you'll need either tubular lower control arms (best purchased with matching upper arms) or SPC Performance does sell coil-over lower mounts for the stock arms (p/n 95338).
Ridetech do an adjustable true coil-over for the 2nd gens which has great feedback.
At the rear, a true coil-over conversion replaces the leaf springs....you need a top mount for the coil-overs as well as a triangulated four bar system to locate the axle.
There are various ones on the market, but Ridetech is again my favourite due to the cost and simplicity. Its a true "bolt in" kit. Some kits, like the DSE Quadralink, require floorpan mods and are more expensive to fit.
If you go over to All Springs in Heathcote Rd Liverpool, they have a spring making shop on site...they can set you up with new springs front and rear. Couple these springs with some quality shocks and a rebuild of all the wear items (eye bushes, shackle rubbers, front end stuff) and your car should handle well.
I'd add Subframe connectors, solid body mounts to the above and you should be pretty happy with the outcome.
If you're interested at all, I have a new set of Pro-Touring F-Body GT front springs (about 1" lower than stock ride height) and a set of PTFB subframe connectors and solid body mounts - all for sale.