See http://www.theyeshivaworld.com/coffeeroom/topic/how-to-send-belongings-from-ey-to-chul-cheap .
Other way around (from chu”l to E”Y) is much more expensive, I assume, but it might still be cheaper than taking it as extra luggage.
It does take a long time, maybe 6-8 weeks or so (maybe it’s shorter from the US, I don’t know). But it’s worth the money and you can manage for a few weeks with the things you can take in one suitcase.