We have a very old rose 'tree' We would like to graft some branches for more trees . What's the best way and is it best in the spring or after its done flowering? It's about 20+ feet tall!

Your tree may have been grafted onto a different rootstock. If the break was below the graft, the tree that is growing will not be the same as the tree you have lost.

Hello, Andre -

I think you will find the grafting instructions here helpful:
https://www.wikihow.com/Graft-an-Apple-Tree

This is a link to an instructive YouTube video:
https://www.youtube.com/watch?v=VT-2nlf9qgo

Best wishes.

Hello -

The information here may prove instructive:
http://www.californiaavocadogrowers.com/cultural-management-library/avocado-tree-pruning-basics

Also see the information here:
http://www.treeremoval.com/trimming-and-pruning/how-to-grow-and-prune-an-avocado-tree/

Regarding the tree root / roots and removal, you can find instructions here:
https://www.wikihow.com/Dig-up-Tree-Roots

However, removal of the avocado tree root / roots may promote root rot for the tree and may lead to eventually killing the tree. For root removal, I would recommend you contact a nearby tree surgery business for advice and for the actual root removal.

Best wishes.

Prune in the spring time. Cut diagonally away from the bud. You can take up to 1/3 of the height.

go google and type in --methods of grafting apple trees -

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There are various ways to graft, but with practice you can master the technique that's best for you.
Look here:
How to Graft Tree

If you need further help, I’m available over the phone at https://www.6ya.com/expert/steven_7f54ab9063554f66

This is an old post, but I didn't see any replys, so I decided to answer. Trees are pruned to help it obtain and maintain a desirable shape and to help it to make more branches and become fuller.

With that in mind, if you have one branch that is out of shape, by all means you can prune it. I would cut it just above a bud node. That takes the "vertical" growth away from that branch and forces the rest of that branch to grow "out" not "up" by making more lateral branches and become fuller.