Currants and gooseberry are pretty easy. Similar to elderberry I think. Here’s my recent thread on elderberries rooting:
In my experience, it has been easier to root all 3 of them in the ground, than indoors. I’ve had very high (90%+) takes on all by sticking a cutting in the moist ground in the fall (~November) and doing nothing else. One year I had a perfect 100% take on about a dozen of them, except for the one I put in upside down (don’t do that… 
).
Indoors though has been trickier. But if you start with a few , you’ll probably get at least one take.
As Mark mentioned, you’ve probably got a better chance if you can find one which has already tip rooted or suckered. I found a few which tip-rooted by accident recently and was able to send some of them out. A couple of them were too big to send (without massive root and top pruning), so I just used those myself.