Hi Jimmy, welcome to the forum!
You may have guessed by now I have a few "views" on P6 suspension, so apologies if I'm repeating.
When looking to change anything on the suspension of any car it's important to analyse what you're trying to achieve first. In this context I'd say there are basically four categories you're trying to address:
1 Appearance This is where lowering belongs - it has nothing to do with ride or handling (unless you overdo it and have no suspension travel left!!) As a general rule, the longer the suspension travel you have available on a car the more likely you are to be able to engineer a good ride and good handling - so lose suspension travel at your peril!
2 Ride This one is obvious!
3 Handling People often assume this equates to stiff springs. No. Rather this is about what happens to the car on the limit, either stable in a corner or changing direction between a sequence of corners. So here we are talking "understeer" vs "oversteer" and "turn in". You can have brilliant handling with a really soft rolly polly ride - the French are good at that.
4 Grip Or how fast you can go before a hedge appears! If 3 above is badly wrong this one will go haywire, but if the handling is within reasonable bounds then grip is determined by how wide the tyres are and by the underlying suspension design. As a tyre corners it tries to roll off the wheel rim. This means that the tread is no longer at right angles to the wheel. Really clever F1 designers spend a lot of time trying to ensure that at maximum side force the suspension has moved the wheel out of the vertical and positioned it so that the tread of the tyre is flat on the road. You won't achieve that in a road car, so the discussion is about how bad the compromises are. The P6 is pretty good at the back. The de dion keeps the wheels vertical to the road at all times, so all you need to do to improve is fit a tyre with a stiffer sidewall - usually achieved by going for a lower profile. At the front the P6 is a disaster, there is very large camber change in roll. Best solution is to try to set the tyre / wheel at a promising camber and then try to eliminate the roll.
So, what would I do in your position? If I read you right you want it to look a bit cooler and to be a bit "sharper"? Next question is how big is the budget? If huge then disregard the next bit and either pm me or do a search on some of the other suspension and handling threads.
Ok, in rough order of cost.
1 I'd change the springs - you're almost certainly going to do this anyway cos the old ones will have sagged badly. Before you shell out, have a long chat about handling which will allow you / us to chose spring rates and lengths that will suit. This should achieve an improvement in roll stiffness front and rear and give you an opportunity to do a little bit of lowering. The ride quality of the P6 (thanks to the long travel suspension) will stand a hefty uprate in spring stiffness without losing peoples dentures!
2 Better dampers. Quite expensive (effectively now only one supplier - AVO - after Koni sold out and haven't made any more) but radically reduces front end lurch on turn in.
3 Uprated front anti roll bar. Easy to fit - just have a front wing off(!). Again major improvement in steering but you need to know you're going to do this before you choose the springs otherwise you could finish up with terminal understeer as well.
After these it's on to the sexy bits. Wheels and tyres. The cheapest solution is SD1 Vitesse 15" wheels with 195/70 X 15 tyres. That's pretty well the correct diameter and you ought to get away without bodywork. You can go up to 205/65 X 15 but you need to skim the back of the wheel. Serious bodywork is to be avoided if possible because the first thing you lose is the bit of metal on the base unit that holds the rubber that the back doors seal onto. If you can stand the car without door sealing rubbers then no problem.
After the Vitesse wheels it all gets a bit difficult. The P6 has the wheels set unusually far into the body and therefore needs a very odd ET rim. Best bet is Jeep wheels and accept some compromises on bodywork, tyre size etc. Or buy bespoke wheels eg Minilites!
Hope that helps - I suspect there might be a few follow ups though!
Chris