If you love poppies and want to have many plants here is the way to do it...according to Martha Stewart Show yesterday.
1. Lift the mother plant.
2. Shake off the excess dirt.
3. Put the plant on a cutting surface and slice the roots across the entire mother plant with a sharp knife. Cut right down across the middle of the root ball. You will have the mother plant with 1/2 of the roots in one hand and the other half of the root ball (still intact) in the other.
4. Plop the mother plant back in it's original hole and tamp and water in. It will not suffer at all.
5. Separate the many roots.
6. Dip the bottom of these roots in water then in rooting hormone
7. Place them on a tray filled with potting soil
8. Cover the roots with more potting soil and water in.
9. Cover with fine gravel.
10. Put in a bright spot and wait for the plants to grow (it can take a long time) just keep them watered and be patient.
This sounded so easy to do and inexpensive. I have always heard that it was difficult to transplant a poppy, but this way seems foolproof to me.