Shipping suitcases from NYC (Jeddah)

Hello.

I am in NYC processing a visa and anticipate moving to the KSA -Jeddah in the next couple weeks.

Any suggestions for shipping excess luggage from USA-NYC?

I am trying to avoid the excessive overweight charges I had from Oman to NYC-many western airlines seem to be allowing only 1 case now for international travel.

I only have 3 medium suitcases but they are heavy suitcases. .

I am inquiring from some co online but would appreciate any and all suggestions from those experienced or living in KSA.

Tks, KS,