**Core Concept**
In breech presentation, the primary concern is to safely deliver the fetus, minimizing risks to both mother and baby. The best method of delivering the arms in breech presentation involves understanding the mechanics of fetal movement and the anatomy of the birth canal.

**Why the Correct Answer is Right**
The correct answer is external cephalic version (ECV) followed by delivery of the arms. ECV involves manually turning the fetus to a cephalic presentation, which allows for a safer vaginal delivery. After ECV, the delivery of the arms is facilitated by the use of a maneuver called the " Rubin's maneuver" or " Rubin's II maneuver", where the obstetrician gently grasps the fetal arm, flexes the elbow, and delivers the arm while keeping the elbow flexed.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not specify a recognized method for delivering the arms in breech presentation. The term "breech extraction" is sometimes used, but it is not a standard procedure for delivering the arms.
**Option B:** This option is incorrect because it does not provide a clear method for delivering the arms in breech presentation. "Internal podalic version" is a procedure used in cases of transverse lie, but it is not applicable in breech presentation.
**Option C:** This option is incorrect because it does not provide a clear method for delivering the arms in breech presentation. "Klumpke's maneuver" is sometimes used in shoulder dystocia, but it is not applicable in breech presentation.

**Clinical Pearl / High-Yield Fact**
In breech presentation, the goal is to deliver the baby safely and expediently, minimizing the risk of complications. A thorough understanding of fetal anatomy and the mechanics of delivery is essential in managing breech presentations.

**Correct Answer: D. Rubin's maneuver**