To my surprise i still have friends who don't know about the browser method of managing your gear in destiny. Most people are familiar and know about using the mobile app
iOS: https://goo.gl/QK1ZyN
Android: https://goo.gl/f5PE5g
Which was the fastest method, until bungie gave birth to this highly efficient browser method. If your not entirely sure if it's faster than using your app, then put this method to the test. Load a character and switch gear using your browser, then do the same using your mobile app. Once you've put it to the test let know how'd it go (-_^)d.
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If my laptop is charged and close I use the chrome extension destiny item manager. If I'm on my phone I use tower ghost. Both able to save weapons sets and one click transfer them all.