Finalization of the wordpress/Woocomerce order payment page

There is an online store and an order payment page https://market.indrik.ru/checkout/
It currently looks strange and does not work correctly.

What you need to do:
- make the input of the city and region on the basis of drop-down lists with hints (when you start typing text in the drop-down list, only the cities corresponding to the entered text remain)
- configure or connect the plugin about the calculation of delivery by Russian Post based on the entered address
- configure or connect the SDEK plugin to select the pick-up point for delivery
- leave at the moment three types of delivery: pickup, Russian Post, SDEK

Please write your specific proposals for implementation, approximate terms and cost.