If it only for in-town transportation then a normal and simple as this one will work
http://www.petsindubai.com/#!product/prd1/2087017865/carrier-1-2
Or if you need for traveling to other country then the best ones are Petmate and/or Skudo.
Hi Karie,
I saw some pet carry bags for sale on dubizzle, maybe it is what you are looking for?
http://uae.dubizzle.com/classified/pets/pet-accessories/dog-supplies/?is_search=1&price__gte=&keywords=&is_basic_search_widget=1&price__lte=
alternatively check out http://www.dubaipetfood.com/shop/frontpage.html
<em>edited by sumi on 11/11/2014</em>