Dear (whatever I would respectfully call an old aunt) I just wanted to say what an honour it was meeting you. You have a heart of gold and I hope that one day I will be able to take you up on your offer and visit your beautiful home. Take care, I hope that you can come again. Lots of love Anza and Nikita"""".

 "Sevgili X Teyze" or more formal "Sevgili X hanım".  Sadece sizinle tanışmanın büyük bir onur olduğunu söylemek istedim. Altından bir kalbiniz var ve umarım bir gün sizin teklifiniz kabul edebilecek durumda olacağım ve güzel evinizi ziyaret edeceğim. Kendinize iyi bakın, umarım tekrar gelebilirsiniz. Çok çok sevgilerle Anza ve Nikita.

 Dear Aunt ......,

Sizinle tanışmanın benim için onur olduğunu söylemek istedim. Altın bir kalbin var ve umarım birgün tavsiyeni dinler ve harika (evini/ülkeni) ziyaret ederim. Kendine iyi bak. Umarım tekrar gelirsin. Kucak dolusu sevgiler.

Anza ve Nikita

Opps. Im sorry Gokuyum. I havent seen your post.

 Yours are better than mine. I have a question what does it mean take you up on your offer? I thought "take you up" as " seni almak" and "on your offer" as "isteğin üzerine". Thanks in advance.

Thank you so much

´take you up on your offer´ means ´I accept (what you offered to do for me) ´

(In this case they invited the poster to their home for a visit)

In this case ´take you up on your offer´ means ´accept your invitation´ here.  The aunt has invited them to visit her home.

This expression can be used in other ways, for example:

a) ´You told me once that you would look after the children if we wanted to go on holiday without them´

b) ´yes I did´

a) ´Well, we have been invited to go to Istanbul and we can´t take the children, so I would like to take you up on your offer (to look after them)´ 

´take you up on´ can be translated as ´accept´

Hope this helps - I´m good at grammar but not too great at explaining it!

  too slow again - I blame the lousy Turkish internet connection!

Thanks to harpoon and as always to lady in red. You are a good teacher lady in red even you don´t want to be