Ive tested all the leading headphones for cycling and running and, try as I might, Ive been unable to find a rival that eclipses Shokz, whether for bone-conduction or open-ear designs.The good news is the brand formerly known as AfterShokz, which claims to have more than 7 million customers, has launched a two-day autumn Prime Big Deal Day sale. Its offering discounts of up to 40, or 32%, off its celebrated headphones today and tomorrow.While Id advocate approaching Prime Day with a healthy level of cynicism and supporting independent retailers where you can, there are deals to be had. Shokz has dropped the price of no fewer than nine of its sports headphones models including the OpenFit 2+, which I rate as the best headphones for cycling, by 35 to 144.I believe cycling or running with headphones can be done safely, but that doesnt mean you should grab some in-ear buds, crank the latest Angine de Poitrine album up to 10 and jump on your bike feeling invincible.Id suggest reading our buyers guide to the best headphones for cycling, which explains the different types of headphone technology and rounds up the best options.If youve already done your research and a pair of Shokz headphones are on your wishlist, read on for the best deals this Prime Big Deal Day.Shokz OpenFit 2+ 179 144 (save 20%) The Shokz OpenFit 2+ wireless buds are the best overall cycling headphones we've tested. Scott Windsor / Our Media The OpenFit 2+ wireless buds hold BikeRadars best overall award for cycling headphones, and I love their well-rounded sound and comfortable, confidence-inspiring open-ear design.Most importantly, unlike in-ear buds, they leave your ear canals unobstructed, enabling you to pick up traffic and ambient noise, with the soft silicone-coated earhooks keeping them securely in place.The OpenFit 2+ buds were my go-to choice for running and commuter cycling for over a year, and I trusted them throughout my training for half-marathons in Berlin and Valencia, as well as the Manchester Marathon. Theyve never once fallen off my ears.Im currently testing the latest OpenFit Pro buds (219), which offer even greater sound quality and wireless charging, and these accompanied me for the Copenhagen Half Marathon last month.However, the OpenFit 2+ offer most of that hi-fi performance and, at 144 from Amazon, theyre now 75 cheaper than the top-tier option. If I were spending my own money, thats where it would go.If audiophile quality is not your top priority, but you want the comfort and security offered by the much-imitated Shokz open-ear design, the OpenFit Air buds are down from 94 to 64 for Prime Day, representing a 31 per cent saving for a budget option I found very usable when I tried them out. Buy the Shokz OpenFit 2+ for 144 Buy the Shokz OpenFit Air for 64Shokz OpenRun Pro 2 169 134 (save 21%) The OpenRun Pro 2 is our choice as the best bone-conduction headphones on the market. Scott Windsor / Our Media Despite the open-ear approach enabling you to maintain better road awareness than in-ear buds, many cyclists prefer bone-conduction designs for optimum safety. These transmit your favourite tunes via vibrations through your skull rather than directly into your ear canal.The best bone-conduction headphones Ive tested are the Shokz OpenRun Pro 2, and you can save 35 on these, reduced for Prime Day to 134.I had a great time testing the OpenRun Pro 2s, listening to John Martyns seminal Solid Air album while rolling along the towpath to work, finding the audio performance better than the also impressive Suunto Wing. The orange colourway is a stunner and the Ni-Ti memory alloy band is flexible, durable and comfortable to wear.Theres also an Eliud Kipchoge co-branded version that appeals to my running obsession.If you dont mind an earlier version of this design, the biggest saving Shokz is offering for Autumn Prime Day is a hefty 40.95 off the original OpenRuns, which are now on sale for 89. Buy the Shokz OpenRun Pro 2 for 134 Buy the Shokz OpenRun for 89Shokz OpenDots One 149 114.99 The OpenDots One use a clip-on design to keep your ear canals clear. Gary Walker The third, and emerging, approach to road-safe headphones for cycling and running is clip-on buds. These work by gripping (gently) to your outer ear, with the driver resting behind your earlobe.This design is claimed by Shokz to offer better comfort and hygiene than other types of ear bud, while enabling you to maintain situational awareness on the move.Im currently testing the Bose Ultra Open buds, alongside the OpenDots One. My early impressions of both have been very positive, and Im a convert to this approach.The OpenDots One buds are available for 114.99, down from 149, while there's also a Prime Big Deal Day saving on the new OpenDots Two, which are reduced from 179 to 152. Buy the Shokz OpenDots One for 114.99 But the Shokz OpenDots Two for 152