I just discovered a new little shop called Gingersnaps at Festival City and Mirdiff Mall. There are boy clothes but mainly the girl clothes are so stinkin' cute! And best of all, the prices were sooo reasonable for a fancy little dress or shirt. For gift giving it's a great place.
my friend just told me about Brash and Sassy Baby Couture on facebook, very cute stuff, also there is baby bling in souk Jumeirah, and another cute baby shop in Mercato..
I second Gift Vouchers, parents always need things for a baby so this way they can choose and get things they actually need.
When DD was born, most people gave me such useless gifts, most of them really ugly clothes from nice stores like Mamas & Papas (why??) I would so much rather have received a gift voucher and bought things of my own choice.
I found this really great store called Coochy Coo that makes personalized baby and children's gifts. Check out their website, they are fantastic: www.coochycoo.net
In the malls, I like Mothercare, Mom and Me, and Zara kids for great, inexpensive useful clothes and accessories. In Deira Souq, try the new Naïf Souq opposite the Al Manara Centre for a wide range and quality of baby and child clothes - inexpensive and some very nice.
many choice as in Malls :
IBM : Gap - Babyshop - mom and me - .
Dubai Mall : chicco // Tape à l’oeil // Osh Kosh B'gosh
http://www.thedubaimall.com/en/shop/tape
Not sure if this will help you but I bought some pretty nice baby clothes in Gap recently (Ibn Battuta Branch) for a friend's newborn baby. They weren't cheap but my friend really liked them...
Have you been to Dubai Babies in Jumeriah Town Centre, next door to Party Zone?
ETA - they might do online too, but I am not 100% sure
<em>edited by pollydxb1 on 13/03/2013</em>