Did your gym post or send out a 2010-11 meet schedule this past summer? If you got one, this means that your gym has already selected the meets to be attended this coming season. I don't know where you are located, but here in the Midwest there are multiple meets on any given weekend and the decision as to which to go to is made by most gyms by the end of Summer, so it is very important that you start the promotion for your meet early next Spring. Chances are you are going to be competing for entries with other established meets, so you will need to find a way to create interest in your meet. You might want to directly contact some gyms and invite them to try your meet. (Don't overlook a little quid pro quo here - we will come to your meet if you will come to ours).
All of the advice above is excellent, and you do need to find ways to make your meet stand out to those gyms that attend so that they will want to come back next year. Our boosters get together with coaches and owner every year after meet season and we review all of the meets from that year. We evaluate them and make a decision about each one; "Was this a meet that we want to go back to again?" Things we look at are Venue, (was it a pleasant environment, good viewing, lighting, music, decorations)Organization; (Was the meet well organized, did it stay on schedule, how long did we wait for awards, was the awards ceremony well done?). Also, concessions, programs, admission costs, and flashing. Once upon a time hand held flashing was usual, but now electronic score display is pretty much expected.
Hope this helps. Good luck.