As a bit of background we were part-furnished in the UK and timeline wise, we shipped everything and moved about a week later so have had 3 months in Oz (1 month in a serviced apartment, 2 months in our unfurnished rental ) before everything turned up at this end. So I'm really glad I realised I shouldn't ship my kettle as I would really need one before the stuff turned up! We only had limited furniture though so had to buy stuff anyway, however its worth knowing that its really hard to find furnished rentals here (I'm in Sydney) so its worth thinking about that side of it.
Thinking about my stuff, I wish we'd sold our TV (and surround system), my other half was out of work to start with (we moved on my job/visa) and there's only so much time you can spend job hunting, studying etc and we ended up buying a TV and the surround was very much geared to the old house and lifestyle. With that I'd also have sold the TV stand.
There are more clothes I should have dumped.
Maybe we should have put some of the cutlery in the suitcases (we did bring a few cups bizarrely) but all that sort of stuff we had to buy some anyway but I now have so many plates and knives its stupid!
I think the best advice is just to think about where you're going to be when you're not with your stuff and are you gong to have to buy in the interim anyway. Don't get me wrong I would have shipped my dinner plates as I like the set but maybe the toaster was a waste! Also, be prepared for any towels / bedding / clothes you ship to smell really stale and they'll all need to be washed (11 loads in I'm still going!)
Unfortunately a lot of the stuff we shipped, isn't as useful in the place we're living but in a different rental it might have been (which really doesn't help I know). What is good though, is that now a lot of it is tidied / washed / put away I'm actually glad I've got it.