The most economical option is chartering, which doesn't require any cash upfront (other than a deposit) through companies like Tradewind, Sentient, and Solairus, (which we took home from North Carolina). Of course, there are the old standbys like NetJets and Marquis, who sell fractional ownership (like 1/16th) of a single jet for upwards of $100K. One step down from that, pricewise, is the jet card, where you buy a set amount of hours from a company like Nicholas or Private Jet Services, and can use those hours for different planes. Then there are membership models like WheelsUp, where you pay $17,500 as an initiation fee to fly in their fleet, and then a $8,500 annual dues fee starting the second year. It's like a country club—only you're guaranteed access to a KingAir350i or Citation Excel / XLS instead of a golf course.
If there are no empty leg flights for your exact itinerary and timing, LunaJets will search its proprietorial database to reroute an empty leg. This would be a private jet that would make an additional stop to pick you up at your departure airport, drop you off at your destination airport, or both. These stops incur an additional cost (landing fees, extra fuel) that LunaJets will negotiate with operators for the best possible deal. Although greater than an empty leg price, a rerouted empty leg will always be much less expensive than a full fare on-demand private jet price.
You will be told how much the hold can take on your chosen aircraft and can upgrade if you feel more space is needed. This will generally be far more than that of a commercial airline. You may also need to upgrade if carrying things like golf clubs and skis. If travelling with a gun, you will need to provide a license and the gun and ammunition must be kept separate. It is then at the captain’s discretion whether it can be on board.