Hi Alexander Koselev,
You have decribed this process correctly.
You are charging no VAT on your total supply but leeting your business customer know that they must account for the VAT using the reverse charge procedure.
The VAT on the materials you purchase is your input tax and is claimable as long as conditions are met below:
10. Introduction to input tax
Please speak to Corporation Tax on your other query
Corporation Tax: general enquiries
Thank you.