Mulberries are usually pretty easy.
I tried one type I have and I put 4 cuttings in a 3 gallon hoping 1 would take.
I left in indirect light and all four ended up rooting. I would take a cutting about
12" long and cut all the leaves/fruit off except one or two small leaves. If the cutting
puts out new flowers cut them off so the cutting puts its energy into rooting not
developing fruit. Try 3 or 4 now and make sure they are humid initially. Make sure the
cutting doesn't dry up before it roots. The only ones I have had trouble with are the
Pakistan ones, I have never got a white shatoot to root but the Black Pakistan I have
been able to do ok but I used dormant cuttings