Basically, you need to create a thread on Meta, with a title that helps to identify that you are appealing the ban of a certain account. People normally label the thread something like “Ban Appeal - xxxxx”. The core of the OP should depict the account that was banned, the message you received, the type of ban, and the reasons that you consider that should be considered for the ban to be revoked or mitigated (i.e. signature ban for a certain period of time). You can see what others have done by either using the forum’s search engine, or using google with a search pattern such as:  site:bitcointalk.org ban appeal.

In all fairness, your current account (@celemoore) is technically ban evading, since once one of your accounts is banned, so are all your accounts. Additionally, ban appeals rarely succeed, and it is not unusual for ccount that appeals to come out scorched...