For production we use whatever is available to the crew. Some volunteers provide their own cameras and lighting equipment, but if anything is needed we rent or borrow from other crew members willing to lend their equipment to us for the shoot. We take great care of anything we borrow, and the equipment is always insured just in case.
For post production, we use mostly Avid Media Composer, or Adobe Premiere Pro and Creative Cloud. If an editor uses a different program that's fine too.