Is this the Ford Fusion? You can go to Autozone or any parts house and get a bearing puller for free to use.
When you did the brakes did you check for play and or grinding while the calipers where off?
Grab the top and bottom of each wheel and push at the top and pull at the bottom You should not get an end play. Rotate the wheel and listen for grinding or binding. This will be the bearing that needs replacing.
The biggest part is the wrench socket to remove the center nut. The rears are easier then the fronts. Some of the fronts are complete hub assemblies (which I like better) and you will need a puller.
Also get more hand cleaner because you will get greasy again.