hau Alexandra,
and found an 8 foot tall and relatively healthy peach tree sapling.
If you want to move this tree, you are in the right time of year still and with the rain soaked soil, perfect conditions to do the digging.
You will want a good sized
root ball to ensure the tree will survive the transplant along with about 2 gallons of B-12 water to limit the shock of the transplant.
When you
free the tree be sure to have a minimum of 12" from trunk to edge for the root ball. Use either burlap or heavy plastic (min. 4 mil, better =6 mil.) to wrap the root ball in for transfer.
You will want to prune the tree back once you have it transplanted so it will be better able to focus on root growth for the rest of this year.
That way it will be settled in for next year, since this is most likely a
seed grown tree, expect it to not produce fruits until it is around 7 years old.
Once it feels established it might set fruits but most likely they will be dropped until the tree has a good supporting root system (
watering in with B-12 every spring will encourage root growth).
Dig your hole at least 2 times larger than the root ball and loosen the soil in the bottom of the hole, be sure to not plant deeper than it is now.
The spot you picked will do fine for the peach tree. Using the above method should allow it to survive the transplant here at the end of the spring season.
Good luck and happy picking your own peaches next year.
Redhawk