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Do you want to edit the videos on Mac, Windows, or directly on your iPhone? The easiest way is with DaVinci Resolve (free, very powerful) or Adobe Premiere - both have decent stabilization tools that work automatically. You import the video, drop it on the timeline, enable stabilization, and let the program do the processing - takes a while depending on the length. iMovie or Final Cut Pro on Mac can do it too, but they're less flexible.

Try the built-in tools on the iPhone first - in the Photos app under "Edit" there's a stabilization feature that often works perfectly fine for minor shakiness, and you save yourself all the post-processing. If that's not enough, DaVinci Resolve (free) is your best bet - the stabilization there is really solid and you don't need expensive subscriptions like with Adobe. I once filmed a video at the playground that was a disaster, but fixed it with DaVinci in half an hour - it takes a while because the software needs to render, but the result looks decent.

If it's really shaky, I'd go with DaVinci Resolve - the free version stabilizes way better than the iPhone tools, but you'll need a computer for it. It's not complicated: you import the video, select the stabilization function, and let the program run for a few minutes. The trick is not to stabilize too aggressively, or it'll look artificial - usually 50 - 70% of the maximum setting is plenty to make handheld footage look decent.

The iPhone 15 actually has pretty solid built-in stabilization - most of the videos I shot without a tripod were already way less shaky on the device itself than I expected. Before you do anything on a computer, I'd honestly check the Photos app first and see how much the built-in stabilization already does for you. If that's not enough and the shakiness is really bad, DaVinci Resolve makes sense - but for mild to moderate cases you'd be saving yourself a lot of work. How bad is the shake for you anyway, just annoying or actually pretty rough?

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