An electronic device includes a device housing supporting a user interface, one or more touch sensors, and at least one image capture device. One or more processors cause, in response to the user interface receiving user input initiating a video capture operation, the at least one image capture device to capture a plurality of video frames. The plurality of video frames are processed with a first video stabilization operation when the electronic device is supported by a multi-handed touch input and a second video stabilization operation when the electronic device is supported by a single-handed touch input. The first video stabilization operation crops less of each image than the second video stabilization operation since the electronic device is likely more stable when supported by the multi-handed touch input.