All names listed
You credit report will include all names. However, you should establish credit history with the new name. Change the name on your credit cards/bank accounts/loans. Then in about 3 months the new name would show up on the Credit History. Further check websites of Equifax, Transunion, & Experian to see if they can add your new name to the SSN.
Of course if do not want to disclose your old name to your new employer on your resume then you should wait till your credit report shows your new name on the top. But your old name stays at least 7-10 years on your credit report.