If it were me and I was just winging it, I do locking brummels on one end and just do a standard splice on the other end, whipping and lockstiching the mess out of the whole thing. Followed by heat shrink at the throats and cordura over the whole thing.
I take that back, if I were doing this, I'd be using double braid. I've almost completely gotten away from hollow braid and am just waiting for my last 2 12 hollow sling to show enough wear to get rid of them. I know I am in the minority here, but I hate that stuff. Pick city anytime I'm working on anything but smooth bark.
That and I don't really trust lock stitching in 12 strand. I had a 3/4 whoopie that I had spliced and lock stitched with a single ring that I used for redirects in large wood. A new groundie, being lazy, was tieing it on my climb line to send it up to me and he put the carabiner through the last brummel. When I hauled it up, the bury was almost completely pulled out. I looked at the stitching and all the threads looked fine on the surface, but where broken and/or worn on the inside. I restitched my remaining slings, even though the stitching still looked ok out of principle. I decided that day to start moving away from 12 strand wherever I could. Who knows? Maybe my lockstitching skills just suck, or maybe I should have used dyneema throwline for thread or something. All I know is for me, I like double braid for these applications. I'd make an exception for an ultra sling, but even then, the material cost is getting pretty high in my opinion.