Straighten your billets first, put a centerline on them so you can line them up on you splices.
Draw the splices on a piece of paper and use elmers glue to glue it on your billet lined up with your centerline, cut just outside your drawn lines and glue up. Put one clamp in the center of your splice, align the limbs and add two more c clamps.
Splices rarely fit on the first try, put them together and hold the splice up to a light to see where they are binding, remove a little of the binding wood and they will slip right together.
I just noticed, one of the billets in the picture below has been spliced before so I am making a splice over a splice. These billets are for a BBO so the splice will be trapped on one side with bamboo and the other with a handle piece. I don't throw away scrap that I can turn into a bow so one of these limbs has been salvaged from a previous project.