Please, help me to win a bet concerning studying Spanish!

Me llamo Alla (I don`t know how my name "Alla" should be written in Spanish). (Yo) Vivo en Ucrania, en la ciudad Donetsk. Tengo 32 años. Estoy casada y nosotros tenemos tres adorables hijas: de siete, seis y dos años.En presente momento/Ahora mismo yo no trabajo. Gracias!

I think with some names its better not translate them and use in the original form. You can omit "Yo" in "vivo en Ucrania". With "admirables" i dont know if you wanna say that you admire them, i change to "adorables". I think "Ahora mismo" sound better than "En el presente momento" but your phrase is correct. 

Soy casada/Estoy casada. In english is the same i'm married, in spanish the verb to be is split in two verbs, "ser" and "estar". "Ser" is used with a thing that you are born or its not posible to change, with marrige is more common the use of the verb "estar" which is used with things that can change or may change; but with states is more common "estar".  "Está soltera" "Está prometida" "Está casada" "Está viuda".

Well done, and sorry for my english im sure i commit lot of mistakes.