Cold press or masticating juicer (New Hyde Park, Long Island)

Anyone have a cold press or masticating juicer, i.e. no blades? I would like to make carrot juice and wanted to see how feasible it is and if I like juicing. I’m looking into making 2 cups of carrot juice per day and possibly even juicing an entire lemon with the rind and seeds. I’m attaching a picture of the auger, which is the piece that does the actually juicing. Thanks in advance.