In cases of more serious crimes, the suspects will have to wait for a bail hearing. At the hearing, a judge will decide if the suspect may be released on bail and the amount. Bail is based on the suspect's flight chance and the crime accused.
And while some will tell you that you can't remain anonymous, the short answer is actually yes, you can. (But with one major consideration.) The Court is going to need a name and person to return the bond to once the court date has been successfully completed.
In some jurisdictions, the court may also allow you to post a property bond, which will use property that you own as collateral for your conditional release. Unfortunately, though, if your bail amount is high, you may not have the resources to post bail with the court on your own.
With crimes not deemed serious, the suspect can usually post bail immediately. In cases of more serious crimes, the suspects will have to wait for a bail hearing. At the hearing, a judge will decide if the suspect may be released on bail and the amount.
The defendant can post their own bail or ask a family member or friend to post it. If the defendant uses a bond company, the company may require the defendant to have a co-signer (someone who will help the company find the defendant should they fail to appear).