So, the question is?...
Do you mean you need someone writing the code for you (moreover based only on that image with an incomprehensible pattern)? If this is what you'looking for, here nobody here writes code for "third parties", sorry. You need to start something on your own, then we could help you.
What I suggest you is starting with a simulator like Wokwi creating with it a better device diagram of the project elements and connections. Just to start and based on your picture and description, I don't think you need 4 DC motors for the movement, 2 is enough (and I hope you won't use a stepper for the mowing blade...).
Then, once you're done with the diagram you could post it here, but before that you should start there by writing some code (you could even test part of the code using the simulator, but the next step is to start building the project in "real life" and putting your hands on it).
If you don't have any Arduino experience (I don't know what is your knowledge, but I assume you're a newbye if you're asking that question..), I suggest you to start with one item at the time, e.g. with a first small sketch to let the two motors run forward, left, right, backwards, and stop, in sequence. Then start learning how to implement a Bluetooth communication, and so on...