Hi Edward. Great idea.
One of the easiest ways that I know to bend wood is the way my father used to do it. Best to start with the wood you need but bigger, twice as wide and longer. Dad used to soak the timber in a bath to get it to be thoroughly wet and had a rope that he could stretch around a circle ( a drum of the right radius for example). He would then bend it as far as he could and keep it going over a number of days. I have attached a website with some options of sleds but the first picture shows a sled with ropes holding the shape. The drum would sit between the bend and the rope. There is an option that once you have the strain on the rope, hit the bending part of the wood with a steam cleaner to heat and relax the fibres. It will be a slow process but with a little gentle persuasion, the bend may get there within a week. It is important, in my opinion, to ensure that the fibres are relaxed so the bend does not spring out or the wood break.
https://builtbykids.com/classic-winter-wood-sleds-for-kids-of-all-ages/ Hold the bend until the wood dries or it can be braced.
Good luck with it all. Looking forward to seeing the finished results. Best approach is gently does it. Once you are happy with the shape, cut the wood in half longways so the bends are the same.
Cheers
Paul
Edit: You asked what wood. The wood I would look for is the hardest knot free I can find with long fibre structure. Some folk up your way say to use maple or white ash. As L Johnson says, use what ever you can get your hands on
Down our way, I would screw a sacrificial runner on the bottom made of iron bark then shape with a draw knife or plane. It weighs 2.4 times pine and it used to be used as railway sleepers and marine piers so is way harder to destroy.