I will have (someone) do (something) for me
This expression is used to politely indicate that you are requesting someone to do something on your behalf.
Examples
お手伝いをさせていただきます。
I will help you.
食事を作らせていただきます。
I will prepare the meal.
散歩に連れて行かせていただきます。
I will take you for a walk.
Quick check
お手伝いをさせ___。