You don't need any of that stuff to determine what bindings to get. You only need height and weight in which OP gave us. Age doesn't matter, BSL only matters for AT binders that max out at a certain length, and his skiing ability does matter a bit but its more how he will use the skis that'll affect him.
I'll give you my two cents and get out of here for ya op. If you want bindings for your skis, go with any option that suits you. The only thing you need to keep in mind is your DINs. I keep mine at a 9 for all skis and a 10 for my huck everything pow boards (Idk, that's just what I like). I've never needed over a 12 or 13 din binding for anything I've done because I know my din range and don't need some crazy 14+ din binding for the way I ski. Look at your preferable DIN (By your height and weight, I'd say 8 or 9 for just everyday skis) and go for the binding with the best fit.
If you want a binding suggestion, I'd look at the Tyrolia Attack 13s. Seems like a good fit for you and one of the best bindings to be made to this date. Also, you can find last years for around 120 or less if your lucky. Hope this helps man.