I was the head of the television ministry for a church about the size you mentioned (now in the 4K-5K range). What I learned is that an A/V ministry requires recruitment, buy-in, training and excitement. Some tips:
Break down tasks into quickly-learned skills that are not overwhelming to learn by the common individual. If possible, arrange workstation seating so that two people can do two complementary tasks, but one person can do both if you are short-handed.
Cross-train so that volunteers can be rotated in different positions, instead of just doing the same thing every time. Publish a schedule a month in advance, typically using MS Excel.
When recruiting, emphasize that desire and attitude are needed, not expertise. Expertise will come with time. Some of the most reliable techs were without technical expertise when they attended the first meeting.
Encourage observers of most any (non-disruptive) age. Set up seating for observers. Blinking lights have recruiting power of their own.
Loyalty and buy-in is directly proportional to the amount of power that a person feels they have. If they are micro-managed, and spoken to in a derisive fashion, and generally feel powerless, interest will be short-lived. But if volunteers are bragged about, incrementally given responsibility, interviewed for input, and spoken to with an air of respect, they feel ownership and interest will be sustained. When correction is required, always make it constructive and when possible, pull that person aside, instead of correcting in the presence of others.
Kick off the team with a half-day or full-day seminar (typically on a Saturday), with donuts & coffee, and lunch provided by the church. Have everyone introduce themselves, with ice-breakers ("What is your favorite movie and why"), and what they are interested in doing (computer, sound, etc.). Then schedule several small sessions, with accompanying manuals (print-out of PowerPoint slides). Take a 10-minute break every 50 minutes.
Its also important to talk about humility (1 Peter 5:50), teachability, and the mission (2 Tim 2:4). This translates to learning from those with greater experience, and concentration on the task at hand.
Finally, scheduling should have rotation, so that everybody has time to attend church, not just work on the team. Don't burn out your most reliable or sharpest help. Plan for contingencies, like vacation or illness.