I can't understand how can I send message from client to storage provider. Following the docs I'm making a request to store the data, but I can't find info on how can I activate this request :c

You may visit http://webarchive.ton to make a storage request and the request will be automatically activated. Although, the provider is already defined.

This service is awesome, but I need to do it on my own storage, could you please clarify what is the exact step of sending request to storage provider?
After executing command:
new-contract-message --query-id 0 --provider

You can check the source code of step 3 of http://webarchive.ton. It’s already open sourced.