As an aspiring member of the film and entertainment community a production company name is something that can be identified as you; it's a marketing tool.
When I started Alcove Audio Productions the name was physically accurate and it was also a joke. All of my audio gear - two keyboards, a mixing console, a DAT, a MIDI sequencer, etc. - was crammed into an alcove in our tiny apartment. I did arrangements for my band and others, a commercial here and there, whatever I could get my hands on. On a release form I was asked for a company name and the now obvious happened - the name stuck, even though my "alcove" is now two rooms.
So pick a name that means something to you right now. It doesn't have to be forever. But maybe it will be and you'll have a fun story about how you got the name.