You can’t secure your own bassinet on a bulkhead seat because it won't work with the established installation system. For safety purposes, you must use the airline’s bassinet.  That said, some airlines allow you to use other devices like these budget airplane toddler beds that convert a seat to an airplane bed. You will need to purchase that extra seat though. If you have questions, it’s best to double-check with your airline and confirm at the gate before boarding.  You can bring a bassinet for use on your trip. However, you have to check them as regular luggage.