Hello Kartiki.
Welcome to IL.
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Though we do get the Indian spices or the dry fruits that you mentioned, there is no restriction in bringing them to Saudi.
We get good quality dry fruits here...but I cannot compare the prices.
I hear there is some problem in getting the signals for TATASKY..since few months. Maybe those who use it can give you clearer picture of that.
And regarding what to bring..please see the previous few posts..where another member had recently enquired the same.
Hope this helps.
All the best for a smooth relocation

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Bye