car is hooked up but feels loose in turns

[kbubb91]

my car is a 2003 olds alero gl 2.2L. its in great shape(old lady garage kept car) i got the car with 83k, got 95k now. put a few suspension parts in to replace bad parts. lately i been getting 28-29 mpg. cars quick and fast, making traffic look slow.

the only problem is I dont have proof of a problem but it almost feels like when i go into turns(ex 60 around a slight casual turn you dont need brakes for) it almost feels like the front end is loose(nascar version of loose, like a tire wants to lift in the front). i havent had an issue yet but idk i got a gut feeling something is off. car is quick to turn as well, like i can do S turns all day. can be a problem in traffic though.(ps all stock except air intake K&N) parts replaced were swaybar coupling, right front shock, new rotors, new brakes, right side CV joint. also added grease to tie rods.

my bottom question is
how do i check my car out and make sure everything is ok?