The below appraisers will appraise items for you. Trade the "???" item to him and he will automatically take 500 gil from you (Chochoroon only charges 50 gil) and give you the appraised item back. If you're in a party when you get it appraised, the item will go into the Treasure Pool - this way, if it ends up being a Rare/Ex item, the party can choose who will get it (or cast lots or whatever). If you get an appraisal by yourself, no need to worry about having an extra space, you will gain one space when you trade the unappraised item.