Dellena,
Sorry I don't understand "not your lot". Where is your sim? You can use the eyedropper on Resort lots and on any community lot which you have purchased and are upgrading. Most items are available under buydebug too, but not the special fridge. That is why you need to copy it using the eye dropper.
Some items are not permitted on community lots, for example, a cooker. And, some items are not permitted on home lots (sorry can't think of an example). However, the fridge is allowed on community lots, so you should be able to copy it there. However, on a community lot the fridge is not available for all interactions. Items not allowed will automatically be removed when you return from edit to game mode.
Also, as Vinyl says, you can also make a copy of this fridge by copying the house which contains it. Go back to your save prior to moving. Move the family out and then copy the house to the bin. This should remove all fridge contents except the basics which come when you buy a new fridge. The bin house will then be available for placing in any town and the fridge should retain it's properties. Don't save the game after moving the lot to the bin.
My sim has several of these fridges (naughty, naughty:)). One in each of her WA homes and one for her resort which I am just about to start.