The picture below shows a saxophone with a lyre and flip folder:
Flutists, however, do not have it so easy.
Our options include the tourniquet, especially useful if a bandmate is bitten by a rattlesnake during halftime:
Or perhaps you prefer the headgear because you love carefully threading your arms and flute through this contraption:
My personal favorite is the clip that leaves a nasty scratch and can’t actually bear the weight of the flip folder:
Perhaps the historical solution is the best of all:
Note the heavy-duty construction, made of wood and pipe, carefully belted at the waist. Just don’t try to march forward. The visibility is poor.