Hazel tends to be the most commonly cited material for woven hurdles but willow and sweet chestnut are commonly used. I'm not sure about sycamore.
Hazel has properties which lend it towards hurdle making (easy to rive/split, flexible, and can be bent/twisted around the zales without snapping).
Willow is very flexible and can be easily bent around the zales although I'm not sure larger rods will do so without snapping.
Sweet chestnut splits easily and will probably last longer than either hazel or willow.
Another consideration is alternative uses for the different kinds of wood. For example, if you leave the sweet chestnut to grow on you'll have great
fence posts that will last ages. Sycamore was traditionally used for bowls here in Wales because of its supposed antibacterial properties. You might want to save your hazel (if you have any) for
pea stick and bean poles.
The quality of the material is important too; you want long, straight rods with as few side branches as possible (knots will make the rods more brittle and more difficult to split).
Ben Law's craft book has a section on hurdle making as does Ray Tabor's. Both describe many other traditional crafts and required materials that might inform your choice of material for the hurdles. There's stuff on YouTube too.