Thanks for your question, I'm surprised nobody asked me this before as it was quite an adventure getting the tapes to California. I took a vacation to the Washington DC area for about a week and then traveled to eastern PA and rented a big Uhaul truck to take to where the tapes were, which had been boxed up into a bazillion Uhaul boxes and then spent a week driving that truck back to Southern California. That was the first time I had ever driven across the United States which was quite a trip.
The far harder part was organizing the videos, which was actually closer to 8,000 videos tapes as there were some duplicates as well as several hundred that FFVRC never cataloged, plus about 600 original DVDs that FFVRC had begun to rent. You'd be amazed how much space and organization is required to house that many VHS tapes, so I appreciate your question as I don't think most fans realize what a job that was and continues to be.
The good news is that we salvaged a lot vintage material that was slowly wasting away on VHS and have spent the last few years backing them all up on DVD to preserve the original recordings for fans to enjoy for years to come.