I swear you and I are doing mostly the same things this spring!
There’s some good info in this thread:
From what I’ve gathered here and elsewhere, currants are as close to a guarantee as you are going to get, whereas gooseberries need a little more care. I’ve also learned that they typically leaf out before they root if started in spring, so keeping the leaves from transpiring too much moisture is going to be a big part of the challenge. What types did you get? I’m currently lavishing some Rondom red currant cuttings with more attention than is probably warranted.