"Floaty" riding usually means the shocks and struts have fatigued or lost fluid over the years, at least on European cars. I suggest replacements. Of course, old Buicks and LTDs were designed to be floaty, but that was a different era. I recently rented a 2010 Corolla on a business trip that had the most numb, non-responsive steering and handling I have felt in a long time. Quite an engineering trick to tune out or dumb down the crisp handling that should be present in a small, reasonable light car.