No need to match film to chemistry. All B&W developers Kodak and Ilford sells are generic to all B&W films. You just have to find the right temperature/time for the film. I use D76 for everything. It's very forgiving and pretty universal, not to mention widely available.
I use Arista Premium film which is the same as Kodak Tri-X in private branding. It works exactly the same way except it's quite a bit cheaper.