Your nationality is Tujia, so I suggest you use "Banai". Banai and Miao are remembered by readers because of the notes of Nanpai's uncle's grave robbery. So you can use the word "Banai family" to appropriately reflect your national characteristics.
As for LOGO, I suggest that you can find an agency to register the trademark. The cost is not high. We'll check whether this trademark can be registered for you.
I'm Zheng Yang from Huashang Power Trademark Registration Company, and I can solve this problem for you. I will provide you with three trademarks, and at the same time I will search whether the trademarks can be registered and provide you with all-round services. If necessary, my phone number is 158. I hope I can help you.