First to the question about black raspberries, you don't need to use cuttings, a piece of root planted as a rhizome will start a new plant, you only need around a 2" piece of root for this method.
Hardwood cuttings are best taken from first year growth, once the bark has fully formed and hardened it takes three times as long for rooting to begin.
Fruit trees are usually grafted because of root disease problems on the parent tree, if you plan on using boron, manganese, and other mineral improvements, you can have great success with simple rooting of cuttings.
For grape vine cuttings, grow the cuttings in the same soil the mother vine is growing in, use something as a cloche over the new cutting.
You need two to three nodes to be in the soil medium and you will want to use a liquid hormone (willow
water works great and can be made for free if you can get willow branches).
I have rooted cuttings of apples, pears, peaches, plums, cherries, apricots, blueberries, pawpaw's, fig and mulberry. Nut trees are best air layered. I have also rooted many Roses from cuttings with out any issues.
One trick I use for planting cuttings made from grafted trees is to blend borax into the soil from the hole along with other amendments, this seems to really help.
Another trick is to wait till you have 2" long
roots and then do a watering with a B-12 addition, this really gets the roots going and don't forget to prune at the end of the first year of growth, you want more roots than top to start with when you put it in a permanent home.
Misting beds are perfect for raising cuttings ( I like mine under a bench in the
greenhouse, out of the way and easy to keep track of at the same time).