Hi, that phrase ' to eat your way to.' means that you are using eating ( food) to achieve your goal. Eat your way to healthy skin : Eating foods that will cure your skin Eat your way to parenthood : Eat foods that will boost your chances of having children Eat your way around the world: Eat in many different countries It is not a set phrase. Other examples include: To sweet-talk your way into your new job. To sing your way to fame.

We can use this with just about any verb to indicate doing something in a series of places or times. For example: I am WORKing MY WAY to a Master's degree. (I am doing things towards getting my degree.) She is EATing HER WAY a better body. (She is making choices about her diet to look slimmer.) The whole team was FIGHTing IT'S WAY towards the finish line. (The team is trying really hard to make it to the finish line.)