Best tip in all of the fish-keeping hobby: you don't have to buy something that says aquarium on it to get the job done. basically you just need a hose to siphon. Yes the larger diameter end on the aquarium specific hose makes it easier to siphon waste, and a clear hose makes it much easier to charge the hose, but none of that is 100% necessary. A length of airline will also work.
The turkey baster can do the job, you just have to get into the gravel while suctioning.
You can also use an air line to siphon water into the tank, lessening the disturbance to any debris you missed while siphoning out.