Personally I would structure the tables differently. You don't know all that much about databases so I won't bore you with technical terms, instead I'll just show you how I would do it (maybe).
Code:
Table Name: project
project_id | project_name | etc
Table Name: client
client_id | client_name | etc
Table Name: project_client
procli_id | procli_project | procli_client
This means that your project data is completely separate from your client data, and vice versa. It also allows you to have multiple clients per project (it can happen!). Simple JOIN commands can be used to relate the
project_client table to the
project and
client tables if and when necessary.