I am currently on H1B but since I have an 8 months old baby would like to work part time.

can my current company convert my full time H1B to part time H1B? what is the procedure for that?

one other company is also ready to hire me on part time basis.what is the procedure for transferring full time H1B to part time HIB with a new employer?

Is there a minimum wages for part time HIB? if so how much? I work as a sourcing coordinator in a garment importing company.

for how long can I be on part time H1B?

can I apply for premium processing for part time H1B transfer?

when can I start working at a new company?