here are some tips from an ex airline employee.
Bring with you as little as possible, forget the chairs and the coolers, buy cheap ones when you get to your destination as any additional items you check into the cargo bin outside of the specific carriers limit may be charged to the passenger. As for your sticks/equipment, they will arrive safely we know it is precious cargo to you, and they are experienced in handling valuable cargo.....put a fragile sticker on it and maybe wrap in plastic. Best of luck to you, safe travels