You would like to move or add an entire category and its products from one store to one or more stores at once?
Open the Category Management interface from the Catalog Menu
Select the store where the category you want to change belongs to
Then select the category
In the right hand side panel, select Multistore Sharing Manager
Tick and/or untick the boxes corresponding to the stores you want to associate/dissociate
The products existing in the category you are associating/moving to another shop will still be present in that category, but the latter will not be set as their default category.
Therefore, do remember to set the default category for these products in the Categories panel located in the Properties column in the Catalog interface.
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