Hi!
I use caligo relief printing ink for all my lino prints. They are made by a fab uk company but as they’re water soluble they’re no good for fabric. (I recommend them if you want to do prints onto paper though!)
Speedball is probably the easiest to get a hold of for their specific fabric inks.
From my experience, I recommend you use more ink on the block print for fabric than you usually would for paper as some of it will soak into the fabric so you won’t have such a bold look- depending on the look you’re going for that is- Personally I like the washed out look.
I know that with the speedball fabric inks you generally have to leave it on to dry for about a week before it’s safe to wash. And even then it’s advised that it’s only washed using a gentle and cool wash.
Some fabric relief inks need to be ironed afterwards to seal them as well.
Hope you have fun! 