Congratulations on the new family member! Delivering to hospitals can sometimes be a headache with security and different wings, so you definitely want a florist who knows the layout. I highly recommend Fleur D’Amour flower store
https://fleurdamourflowers.com/ for this. They are local to Buffalo Grove and they handle hospital deliveries all the time. They are great at making exquisite, one-of-a-kind flower arrangements for every occasion, and their "Baby" collections are absolutely adorable. I sent a bouquet to Northwest Community through them recently, and it arrived perfectly fresh and made it straight to my friend's room without any delays. They are very careful with the packaging so nothing spills during transport. It is a much safer bet than using a random online flower wire service!
