Surrendering on the warrant will result in another mugshot and another arrest record. In some cases, it might be better to file a "motion to surrender" that allows you to surrender in the courtroom so that the judge can immediately address the bond and conditions of release.
If the warrant was issued for a failure to appear (often called the "FTA" warrant), then find out whether the attorney can simply file a "motion to withdraw" the FTA warrant or capias so that you can avoid being taken into custody. The motion to withdraw the warrant is sometimes called a "motion to quash" the warrant.
Work quickly to hire an attorney as early as possible. Hiring an attorney to assist you early in the case may ultimately save you money, stress, and embarrassment. Contact me today or go to The Law Office of Kurt Teifke and we'll talk about the details of your case.