How does taxation work for single-member LLC registered in WA, member residing in NY, and working in NJ?

I have formed a single-member LLC where I am the sole member/employee of the LLC. The LLC is registered/incorporated in WA but I am a resident of NY. I plan on consulting at a company in NJ, so the company will pay my LLC for my services, and my LLC will then pay me a salary. I also plan on filing for taxes as a C-corporation, which means that the LLC will pay federal and state income taxes on its income, and then I will pay federal and state income taxes on my salary. My question is which states do I need to file taxes for the LLC and myself - WA and/or NY and/or NJ?