I would go ahead and bring your favorite small kitchen electricals - I did not, and wish I had my dehydrator and stand mixer. Toasters and waffle-irons are not expensive here.
I did bring my turntable and like 500 vinyl LPs, and the turntable is working just fine on a heavy-duty transformer I bought here for about 50 pounds. (Music is important.) Didn't bring speakers, and regret that now. Had to get some locally and am a cheapskate, so the sound, while acceptable, isn't quite what it was. So if you are an audiophile, I'd bring it all along.
The Daughter brought her sewing machine and serger, and is very thankful she did. The machines she has found in the stores here are not impressive, when you can find them at all. To get a decent one the price shoots through the roof. (They are working just fine on the transformer.) If you need attachments for them (zipper foot, ruffler, etc.) buy them before you come over.
I was told to not bother bringing floor and table lamps, that they'd have to be rewired. Have since found that with an adapter at the wall plug and the use of LED light-bulbs, the one I did bring works just fine (no fire hazard thanks to the LED) and now wish I'd brought the others.
Linens. It's a killer to find good sheet sets here. You can find duvet sets, but not old-fashioned top-sheet/bottom-sheet/two-pillowcase sets easily. And then if you do find a high thread-count set, they are expensive. If you like American-style quilts, I have not seen them here either.
Someone already mentioned cast iron cookware. We brought most of ours with us, thankfully, as it's pricey when you can find it here. If you use cookie sheets, they don't seem to have "air bake" sheets here, which are really the best for that purpose. We brought ours and they fit the oven just fine. Corel. Wish we'd brought it. I now have a set of look-alike dishes from Ikea, but they do break when dropped (we have a slate kitchen floor).
We brought our old-fashioned stove-top coffee percolator. Haven't seen anything remotely like that here, and are thankful we brought it.
If you are into decorating for Halloween, you won't find a lot in the way of decorations here. We really regret not bringing our strings of twinkle lights and bubble lamps for the Christmas tree, as the LED ones here are just not as pretty.
American extension cords if you are going to bring anything that's going to plug into a transformer. I have a tropical fish aquarium and brought all the electricals with us - pump, heater, light hood - and it's running off the same transformer that is powering the Daughter's Wii and Xbox, thanks to the judicious use of a long extension cord. I searched for quite some time and never did find an extension cord here that would work without the use of an adapter plug (and the cords are more expensive than they should be).
A spare computer, unless you are going to be traveling back to the States at some point and can pick up one then. I was thinking about buying and shipping one over when we moved as it was offered at a really great price on a Black Friday sale before I left. The same machine, with all the VAT and the exchange rate issues, would be just short of double the cost here today. Definitely regret not doing that.
Large room rugs. I left a couple behind because we ran out of space. Replacing them is too expensive, at present, and I can't find anything remotely like them here anyway.
Basically, some things are cheaper here - food, for one. But durable goods are exponentially more pricey. If you have the room, I'd bring the stuff.
Oh. Telephones - landline ones. If you want just a basic phone, not a cordless, they are available but limited in options. You should probably not bring your cordless without checking to see if they are ok. Apparently it's against the law to import some electronic devices (cordless phones, radio transmitters, etc.) into the country. That might include things like baby monitors, not sure, so you might want to double-check.
Neosporin, Ace Bandages, naproxin. A couple of cases of Carnation Instant Breakfast (now Breakfast Essentials, I think). Good hot sauce. Any peculiarly USA ethnic-type foods, like chili mix. (What they sell for chili here is more like spicey ketchup and tends to have a lot of vinegar flavor.) Things that have history with you or your family - framed art, figurines, flower vases, etc., will make your new home feel more like "home".
Enjoy your upcoming adventure!