I don't have a Jacaranda tree, but they are a sight to behold in and around Riverside, CA.
Jacaranda mimosifolia is also known as Brazilian Rose Wood or Blue Trumpet Tree. They grow up to 50 feet tall and grower wider than they are tall. These trees can be cloned from softwood cuttings, grafting or from seed.
Interestingly, the drought-tolerant Jacaranda trees have no notable pests, but they must be placed in well-drained soil. Also it is not recommended to prune the Jacaranda very much.