No, I don’t charge a registration fee.
That said, sometimes there’s a start-up cost, depending on the client’s interest in doing homework, what they already have in their home, and their interests. I bring everything that we need so a client would have zero equipment cost, but some of them want homework between sessions and I no longer loan out my equipment. In initial discussions with in-home clients, we talk about what they’re willing to do during their “off” days and sometimes that requires the purchase of equipment. That can be an up-front cost of $25 for a couple of exercise bands up to $300 for a CrossCore and the mounting hardware to put it up in their garage.