Can I open an account for my Cyprus company without Your help?

Yes, certainly. Depending on your status in the company (beneficial owner only, or shareholder, or director, or any combination of those), You may approach any bank and apply for the account opening – including banks outside Cyprus. Just bear in mind that Cyprus companies must conduct full and proper accounting and produce audited financial statements annualy – therefore, full account information will need to be provided to the company accountants (that may or may not be us) and the auditors.