Here is what I do:
I clean and dry the seeds in the house. Don't want them to get hot.
After they are dry put them in a zip lock bag with a few damp paper towels and put them in the refrigerator.
Plant them in a row in my garden in the spring where I can keep them worked out.
The next fall I transplant them to their new location.
In the spring I graft them from the mother tree if it is a good one, or from a favorite tree. That way it will grow true to form having the same genetics as the parents.
Peaches will often make good trees without grafting, but apples usually will not because they mostly cross pollinate and sometimes from a crabapple near by.
If someone has a semidwarf apple tree near you, you can get the dwarf rootstock from them. Suckers grow up from the base of the tree about this time of the year. After the tree is dormant, cut, pull, dig some of these ground suckers and plant them keeping them watered good after growth starts in the spring. The next fall graft whatever you like to them and you will have dwarf apples. Graft apples in early spring just before the sap rises. Most people bud graft peaches in June.
One of my better peach trees is from a seed and not grafted.
Plums sometimes grow suckers from the roots. You can dig and plant those and they will grow to the same form. Plums are not usually grafted.