If you're going to transplant any tree or shrub, it should be done in two steps. You need to start in the spring.
First, you need to root prune.
A tree that has been growing in a place for a while has most certainly become established in that spot. If you were to just suddenly dig it up and move it, it would lose a lot of its root system. What we have to do is encourage the developement of more roots closer to the trunk of the tree so that when we dig it up later, it will have a more developed root system that can be moved with it to the new location.
All you have to do is take a shovel a dig a deep trench around the perimeter of the tree early in the spring. Be sure to feed the tree with something high in phospherous. Bonemeal would be great. This will encourage roots to develope closer to the trunk of the tree.
In the fall is the best time to transplant.
Dig up your tree. You're going to lose a lot of roots. But if you root pruned in the spring, your chances of successful transplanting are better.
Make sure you prepare the new site well. Pre-dig the new hole. Make sure the new hole is plenty wide enough to accomadate the tree, but so wide that the tree will fall over in it. supplement the soil with fresh compost. Make sure you plant it at the same soil level that it was at before. This is very important! Not higher, not lower! Especially not lower! And DON'T pile up mulch around the base of the trunk of the tree. This is where the tree aerates. If it's all covered up with mulch, the tree can't properly 'breath'. This can lead to disease, pests, problems. A newly transplanted tree doesn't need this!
I have been successful 99% of the time digging up trees and transplanting them the same day. It is very important to develop root growth at the above answer states. To do this, add a cup or more of 0-20-0 or 0-40-0, high phospate with no nitrogen or potash. This helps root growth only and the tree is not forced to grow above the ground. It will become well established with a fine root system after a year. You can then add a fertilizer 10-10-10 or near those numbers as the years go by.
The leafless months from November through March is the best time to trim oak trees, in the Northern Hemisphere. Oak trees (Quercus spp) suffer from a wilt disease (Ceratocystis fagacearum) that bark beetles (Pseudopityophihorus spp), attracted by the smell of fresh wood, carry into such open "wounds" as pruning cuts and trims. Any emergency cutting, pruning or trimming -- such as of damaged, dangerous, dead, decaying, diseased wood -- from April through October will have to be done into dry wood on dry days and protected with wound dressing.
When the leaves are off.
At the end of winter and before spring
When you have trimming shears
In Autumn after leaf fall.
The best time to plant most trees is during dormancy, so late Fall to early Spring is the best time to plant or transplant hybrid poplars. I feel, if you transplant around December, your trees have plenty of time to get used to their new location before new root, leaf and stem growth begin.
Red Beech trees will flower during the spring. At this time, they will be pollinated by the wind. The flowers will then produce seeds after fertilization that will fall in autumn.
The best time to transplant a peach tree is January. The trees are still dormant from the winter, which will reduce the shock of transplantation. It is also best to transplant a peach tree when it is at least one year old and preferably not after they reach three years old.
it depends what season it is...
Summer
never. Don't waste your time or money
Soon after puberty.
The best time is after the first frost and before the last frost of your region. This is because you want to transplant when the plant is dormant.
Rainy season is the best time to transplant seed. During rainy season, there is a lot of humidity, hence the seed sprouts will get required good quality of water for a better growth.
If you mean a beech hedge then August in the Northern Hemispere is best. If it is a tree there should be no need to prune it other than to shape it and you can do this at any time. If you do that too often it will become a hedge and be best done in August.
Spring
Evergreens are best moved in the spring.