I've never heard of "strut pads".
Strut mounts attach the strut to the vehicle and dampen tire noise and vibrations, and help keep the wheel perpendicular. They should be replaced every time you replace your front struts. Mine had around 130k on them and were pretty worn, even though they weren't rusted at all thanks to Florida's very mild climate.
Strut mount replacement will involve removing the struts from the vehicle and disassembling them, so some special tools are required (spring compressors). Essentially it'd be just like replacing the struts again, so depending on your new struts' mileage it may be a good idea to replace these too. I'd get Raybestos or Sachs strut mounts
from RockAuto. Also check your sway bar links' bushings as zach said above. If you order from RockAuto, be sure to use a 5% discount code I linked to above.
If you decide to get your strut mounts replaced, you'll need to replace some fasteners too. These would be the upper and lower strut mount nuts, and upper strut center nuts. If you want OEM part numbers for these, they are:
[01223-00321] NUT (quantity: 4)
lower mount nuts (2 per side)
[01225-00032] NUT (quantity: 2)
upper strut center nut (1 per side)
[01225-00231] NUT (quantity: 6)
upper mount nuts (3 per side)