It all depends on several factors including what your time is worth.
Have had many appliances shipped to NY, some far away as CA. Much of it comes down to shipper and how well things are prepped/crated/packed before shipment.
If time isn't of essence throw an advert up on Uship and see what happens. First several bids will always be the highest, but a time goes along usually someone sensible pops up.
When placing advert on Uship or elsewhere specify exactly what wants doing and how you want it done. Otherwise you'll get low ball yahoos who won't do the best job.
Again if time isn't of essence what you might want to do is find a cheap flight down to Florida and do the wrapping/packing yourself in advance of any shipper collecting.
If you don't own a vehicle large enough to transport these machines could always fly down to Florida, then drive back. Again it comes down to what your time is worth along with associated costs.
At extreme end of things are services like TSI and Craters and Freighters. C&F is quite expensive, but they did ship an ironer from Florida to me several years ago. They collect items, crate then and either ship on their own trucks or via common carrier such as UPS.
You can always reach out to C&F and others to get quotes. You'll need dimensions and weight for both appliances along with origin and delivery zip code.
https://www.cratersandfreighters.com
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