A range of sellers via eBay take up to 76% off a selection of new and refurbished vacuum cleaners, with deals starting from $11.95. (The banner advertises up to 50% off, but we found deeper discounts within.) Plus, all orders bag free shipping. A couple of best bets, with comparisons to new units:

• Refurb Shark Bagless Lightweight Cyclonic Handheld Vacuum Cleaner for $25.99 ($10 under new)
• refurb Neato Robotics Pet and Allergy Vacuum Cleaner Robot for $229.99 (pictured, $70 under new)