to

"I recently sent a letter home to my family and friends to tell them about my daily routine."

I think the above sentence can be split into two parts
a. I recently sent a letter home to my family and friends
b. to tell them about my daily routine.


from "to tell them....." in the 'b' part, what do you normally see? is it 'and told them....' or 'for the purpose of telling them...' ?

I recently sent a letter to my family and friends at home, in order to inform them about my daily routine.