You would like to enter as a visitor to Bermuda which document you should bring with you international driver license certified birth certificate or US driver license?

Birth certificates are not valid for international travel. "International drivers licenses" are vanity documents with no legal standing and cannot be used to cross international borders. An "enhanced" US drivers license will get you into Bermuda by sea, but most US states do not offer enhanced drivers licenses. If traveling to Bermuda by air, the only valid document is a passport.