Suckers probably aren't going to be the best approach. Reason is it's probably grown on a rootstock different from the fruiting part of the tree.

For grafting you need wood from the strongest growing shoots last year. These might be in the top of the tree or a strong watersprout lower down. Cut those shoots from the base of last seasons growth with about 4-5 buds. Save them in the frige wrapped in a moist towel in a ziplock bag. Preferably away from any ripening fruit. Graft after the rootstock starts growing in spring.

For T budding in late spring you take wood from the strongest new growth and immediately T bud it onto a rootstock like Gisela 5 or Krymsk 6 from Raintree nursery. This is the easiest way because you don't need to store the wood.

If all that seems too difficult, try to find someone to graft or bud your wood. There are pros that do this for a fee but I don't have their names.

The post below might help. It asks the same question for apple.

Here is a link that might be useful: saving an old apple

This post was edited by fruitnut on Sun, Feb 10, 13 at 13:15