I can provide you similar concept using UNITY Game Engine.
I will provide you Game using UNITY3D so it will work on both IOS and ANDROID.
Relevant Skills and Experience
I have been working as a game developer since last 4 years in unity game engine. I have developed games like shooting games, infinite runner games, car racing games, puzzle games.
Proposed Milestones
$1500 USD - complete project
Before we move ahead, I would also like to have a word with you on this project, so that we can be on the same page of understanding. Currently as per your requirement, we can do this project within $1500. However, I will able to provide exact cost and timeline once everything is discussed.