Premiere Pro’s Warp stabilizer feature does a pretty good job if you ask me. It reduces shake, jitter and smaller bumps without making a mess of what is already messy footage.
The cons are no changing of speed on clip, heavy CPU usage, jello and some cropping, to the degree of how bad your footage was in the first place.
Cutting out the camera shake for starting/stopping the recording and at times of heavy movement between subjects helps immensely.
Here are 3 clips (shot at 4k 24fps downscaled to 720p) the first is non Warp stabilized, second is warp stabilized with no crop and the third being warp stabilized with a crop.
You can tell the difference between no Warp stabilized and the stabilized versions. It does make what was a shocking clip into a very useable one.
Warp stabilized with small crop
Gimbals and IBIS have made Warp stabilizer a thing of the past for most, but for handheld shots and the odd clip you want smooth then it still comes in great use.
You can find Warp stabilizer in the effects tab of Premiere Pro.