Well you can find some really nice ones @Virgin Megastore but I heard they are quite expensive so some cheaper places are @Dragon Mart basically anything made in China you can find there. Also check out @Ace Hardware they carry some
There is a Facebook group called Scots in Dubai (facebook.com/scotsindubaiand) they said that there is no place in UAE to find a kilt but they gave a bunch of links to help you get one, check out scotsindubai.com/links/
You should take a walk around @Alserkal Avenue they have a lot of great options there! Also @La Galerie Nationale is a great place for home furniture
You can play @Jebel Ali Golf Resort but I also heard from a little bird you may be able to play @Dubai Polo & Equestrian Club (but not sure if it is just polo and they got it confused)
Check out @Boutique 1 it is a high-end boutique with friendly staff. All the latest offerings from Prada, Marni, Alexander McQueen, Stella McCartney, Missoni, Miu Miu and more.