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You can probably put some smoother or more forgiving shocks and struts on there. Get some tires with more side wall and maybe a little less width.
Yeah I think the tires would be my first move. For a softer ride you want more sidewall, and/or a softer sidewall. You can increase the sidewall height by going with higher aspect ratio -- that is the second number in the size, like 245/40. If you don't change the wheels, this will increase the overall diameter of the tires which is generally not a problem for clearance but it will throw the speedometer off a bit. Or you can change to smaller diameter wheels and bigger sidewall tires to maintain the same overall diameter. Also some specific tire makes/models are known for a softer or smoother ride. Tire Rack could probably help you with that.
A shop that specializes in shocks/struts might be able to make a recommendation on some softer ones but most people go in the other direction so I am not sure about this.