Ways to move your buttons:
- Mecanim. Unity allows you to use their mecanim animation system for your UI.
- Code. You can use a method such as Vector3.Lerp to gradually move your object from point A to point B.
- Tween Engine. You can download a free tween engine (such as DOTween) and use that.
The easiest way would probably Mecanim. Check out tutorials (Mecanim UnityGUI).
Otherwise, I always prefer using a Tween Engine for this than Vector3.Lerp, just because it's more extendible.
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