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It depends for me it's easier to keep the filter pads since all I have to do is disconnect the pump open the filter and pull it out. Everyone has their preference.
No I don't reuse I buy a large roll and cut them to size so the day before a water change I put the new one under the old one. Then I just pull the old one out and toss it the next day.
I buy the pink and white ones on eBay and it was less than 15 and I buy it maybe twice a year depending on water changes. If the filter pad looks ok I skip changing it and just rinse it in tank water.