How can I have two Apple IDs?

How can I have two apple IDs? The Create ID won't let me because it recognizes my iPhone #. I try to use the work telephone number but it still won't allow me. I need one for the work iMac and one for the home iMac. I need to separate the two. Background info - I took an unused office iMac and set it up for the warehouse using my regular Apple ID. Over time it has linked the home mac and work. My wife can see my work, etc when she is on the house mac. I now have another unused iMac and want to set it up for warehouse and bring the one there now home. If two Ids are not allowed then is there a way to unlink the existing warehouse machine from home?