Hi JK,
Now that there are two references to the flowers, note that they are talking about on a live plant, not your beautiful bouquet that has a seriously compromised root system... Once you decide which plants you want to grow, pay attention to plant health instructions, like encouraging growth and trimming guidance.
Time for another batch of Carbonara with basil blossom garnish!
Another reason I suggested planting chives is that chive flowers can be picked, rinsed, stored in a zip lock for 3-4 days or so. The blossoms on your basil will only last one or less, once plucked. Rosemary blossoms are also delicious, but also more fragile than chive.
Again, congrats on your new herb garden!