The interview process is different for everybody. I had a phone interview with HR followed by an in person interview with the TL and DL of the team I would be working for. It took less than two weeks to get hired.

Why do you want part time? Do you want to stay with part time. Why do you want to work from home? What software, hardware and systems have you worked with? Are you able to create a home work environment free of outside noise and distraction? There can be no child care or pet or other outside noises/distractions.