How does one configure theme options for secondary site theme?

To provide more context… I’m planning to setup two sites that use the same content but have different URLs. The sites will be using the JobRoller theme and I want to have two sites with different domains names both use the same content. For example, my main site might be HappyJobs.com and the secondary site might be JobsForHappyPeople.com. In this case, they will both use the same theme but will need different theme options so that when someone goes to secondary domain (JobsForHappyPeople.com) they will see a site with all of the same content, but the site banner/logo will be different and/or some of the theme options (colors, etc.) might be different.

Thanks!