Most wine kits make 6 US gallons of wine. Otherwise, any winemaking supplies are just like those supplies for beer except for a few chemicals you might need. Potasium metabisulfite for example is one- you can buy it as a powder or in tablet form. Tablets are easier- you use one per gallon, but more expensive. You can also use a sulfite solution for your sanitizing/rinsing of all wine utensils.
Check your instructions over carefully before starting- there is a list of equipment that you'll need and you will need more k-meta than is in the kit, too. Also, you need a corker (a hand corker is ok but a PITA) and corks and wine bottles.
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