could you post an image of your new camera. Early model of Contaflex cameras had built in lens, (Contaflex I and II) some with a compur shutter, later models had interchangeable lenses. This forum uses embedded images (and videos) only, so you will need to post it elsewhere (flickr e.g.) and post the link.
In any case, adapting Contaflex lens won’t be easy, because AFAIK there are not commercially available adapters.
If you are planning to buy some other old lenses, don’t hesitate to write me. We have tons of old Zeiss lenses laying around, especially those not so rare and even if we don’t have what you are looking for, I can usually give you some advice.
BTW, if your Contaflex is working, why not putting a role of film inside and have some real legacy fun 🙂