Creating a logo/signature that moves

Does anyone have experience with this?
Is this a motion graphics job?
How much would it generally cost the client?
Would anyone be interested in this job?

Yes, it’s a motion graphics job.
I can do it, you could email me
hfpixelsdesign@gmail.com

k. i sent her your contact info

If i would want to make one on my own for myself, are there any other ways to do it? what program would i use?
i have what i want in mind, i just need a program to make it happen…

I usually work in After Affects.
Maybe you can try to find a free program online