Pour the water into a medium-sized pot and bring it to a boil. Add the lobster tails and cook for 3-5 minutes, or until the shells are vibrant red and meat is no longer translucent. Reserve the water in the pot. Remove the meat from the shells and set it aside.
Add the shells back to the pot of water, and bring the water to a boil. Reduce the heat to a gentle simmer and cook the shells for 20-30 minutes. Use a slotted spoon to remove any foam from the surface of the water. Strain the water into a large measuring cup and discard the shells. You should have about 4 cups of water. If you have less, top the measuring cup up to the 4 cup mark with water or broth.
Melt the butter in a large, heavy-based pot over medium-high heat. Add the onion, carrot, and celery. Saute for 4-5 minutes, stirring occasionally, or until the veggies begin to brown. Stir in the garlic and cook for another 30 seconds.
Add the flour. Stir well, then let it cook for about 1 minute. Whisk in the wine and tomato paste until completely smooth. Let it bubble for 1-2 minutes. Add your prepared lobster shell stock, the bouillon, Old Bay, and thyme to the pot.
Bring the soup to a boil, then reduce to a simmer. Simmer for 10-15 minutes, or until slightly reduced. Use an immersion blender to blend the soup until it's completely smooth. Stir in the cream, and season with salt and pepper to taste.
Roughly chop the lobster meat and stir it into the pot, or portion individually into the bowls before filling them with bisque. Garnish with chives to serve.