Development of a Wordpress plugin - "Record in the auto repair shop"

Good day, dear freelancers! 
Please carefully review the task, as this is a somewhat large and responsible project. 
(Terms - up to a month. Please propose a budget, but within reasonable limits)

I immediately delete bids with random budgets, you need to at least roughly specify (or immediately write from and to)

(Ready plugins are not suitable because a lot needs to be customized)
The task is as follows:
There should be a list on the site on the left, and a map with pins on the right. 
This is a functionality for booking at an auto repair shop.

(The user enters the city at the top, selects a service (for example, oil change), and is shown auto repair shops that meet the criteria. - selects a suitable workshop and clicks submit application - then a popup with a form opens (fields can also be customized)

(All these auto repair shops, services, filtering - can be added from the admin panel, through a user-friendly UI)

Stage 2: There should be a special form that can be inserted with a shortcode, where the owner of the workshop provides all the information, photos, services, description, working hours, and more - then it redirects to payment (Stripe, Mollie integration), after successful payment - everything is automatically added to the map and to the list (i.e., the admin can add them himself, owners - after payment and filling out the form).
Additional: Two languages for backend and frontend of the plugin.
Additional (possibly): integration with an open database of EU car numbers, entering a number shows the car model, and according to the model - garages that work with this brand and model are displayed. 

Here is an example I found on one of the European websites:
The design is approximately identical.