Lots of selection !!!!!
I think Penhaligon's is also in Burlington Arcade.
Fortnum and Mason which across from the Burlington Arcade - 2nd floor the perfumery dept.
Harrods- you got to go to the 7th floor and visit the Haute Parfumerie. Just mention you are a Basenoter - it helps .

Also Harrods Perfumery on the ground floor. Then across from the side of Harrods is SpaceNK - they have all kinds of scents including Francis Kurkdjian and Nasomatto .
Harvey Nichols is very close to Harrods so it's worth a pop in as well. They have Van Cleef & Arpels , By Kilian and Serge Lutens amongst others..........
I want to go with you ! Have fun !