At the top of the side bar you will find the publishing tools.

• Shop and search – Visible everywhere, shop pages, category pages and search results.
• Shop only – Visible in shop pages and category pages, but not search results.
• Search only – Visible in search results, but not in the shop page or category pages.
• Hidden – Only visible on the single product page – not on any other pages.

You can also set whether the product is promoted in product categories, up-sells, related products as a Featured Product. For example, you could tick the Featured box on all bundles you sell.