Post Design Museum: Drinks/Dinner

I’m going to the new Tim Burton exhib at Design Museum soon. Any tips for good places to go after for drinks / dinner? Either nearby / Kensington / close parts of Notting Hill / or over towards St Jame’s/area (out of town friend coming who is staying there)?

Hi! I was totally inspired by your post so I have now booked to go this with my other half - how exciting!
Food wise, Dishoom is not far away (10min walk down Kensington High St) and it is amazing for a delicious curry and great cocktails!