One of the best divorce lawyers in UAE that i know is AlSaadi Advocates. They have lawyers and consultants specialized in Divorce and other personal status laws. visit : https://www.alsaadiadvocates.com/practices/family-lawyer The firm was set up by Mr. Mohammed Al Saadi and they have 17+ experience in this field.
I contacted several legal firms and the price ranged from 35 and up with most quoting 75, with the help of a lady here on expatwoman, I was recommended to Ibrahim Al Khouri, www.khourilawyers.com who is handling my Sharia divorce case at a reasonable rate you can whatsapp him 050-623-4989. You can meet with British lawyers but in the end the one who goes to court with you is an Emirati lawyer by law as foreign lawyers are not allowed to represent you in divorce court