As Carl said, DataGrab will be your best bet if you don't want to dump the entire database and import it into a new site.
The store has some data in exp_channel_data, but you also have data in exp_store_products, exp_store_product_modifiers, exp_store_product_options, exp_store_stock, exp_store_stock_options for your products that you need to take care of if you were looking for data transfer manually .z
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