Pulsejets are easy enough to make and get running but to get one to fly needs to be very very light and it needs to develop maximum power. The bigger the jet the easier it is to get running so what I'd probably recommend is do what I did and that's make a big one out of exhaust tubing and sheet steel and use it as a test bed run on propane gas, then make a smaller one out of thin stainless with a lightweight intake. You can make valveless pulsejets, easier to make than a valved one, but I don't think anyone has had one fly.
I actually spoke to someone at the weekend about the legalities of flying and it's mainly a noise thing because the drone carries a long way. Plus they are out of fashion since turbines have dropped in price.
Impressive toys though. Make one anyway, even if you just stick it on a pair of rollerskates screwed together.