01 - If using whole lobsters, bring a large pot of salted water to a boil. Cook lobsters for 8 to 10 minutes, then transfer to an ice bath. Remove meat from tails, claws, and knuckles; chop into bite-sized pieces. Reserve shells for stock.
02 - Melt butter in a large saucepan over medium heat. Add onion, carrot, celery, and garlic; cook until softened, about 5 minutes.
03 - Stir in tomato paste and cook for 2 minutes until slightly caramelized.
04 - Add lobster shells (if using), bay leaf, paprika, and cayenne pepper. Pour in sherry and simmer for 2 minutes, scraping up browned bits.
05 - Add seafood stock and bring to a boil. Reduce heat and simmer uncovered for 25 minutes to develop flavors.
06 - Remove and discard shells and bay leaf. Blend the soup base until smooth using an immersion blender or a regular blender in batches.
07 - Return soup to the pot. Stir in heavy cream, season with salt and pepper, then gently add lobster meat. Simmer for 3 to 5 minutes until heated through.
08 - Ladle bisque into bowls. Garnish with chopped chives or parsley and a squeeze of lemon.