I'd go with a 6" Orbital sander. Buy a couple 80#, 60# and,...40# grit disks.We do not need to save the nonskid, but there are a lot of holes from the teak that we will fill.
What type of sander would you recommend?
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Start with the former and work down.
You'll know which grit 10 pack of sanding discs you need to buy.