When to pull up tulips for re-planting in fall

We moved late last summer, and this spring were delighted to see many tulips pop up, however they are thru blooming, and we want to re-arrange the garden next year, and I would like to know if we could pull them now, and let the leaves die off, could we...

re-plant them in the fall and will they bloom again. I have been told I had to leave them in the ground or they won't bloom next spring.

They do much better if you leave them in the ground and they go through a cold winter. Just wait till the leaves start to get yellow, then cut them off. The green leaves supply nutrients to build the plants up for next year's flowers.

As pink says, the bulbs draw nutrients out of the leaves as they die off, to help form the flowers for next year. They can be lifted after this die-back if necessary and kept in a cool dry place, then (if you don't live in a very cold place) placed in the fridge crisper for 4-6 weeks just before planting again the following fall. This cold period helps trigger flowering.