I like Singapore partly for the fact that everything you want to see and do is easily accessible by public transport - and you can see the whole country in a relatively short holiday, like the 10 days you're thinking of.
I thought Singapore Zoo is the best zoo I've ever been to (and I'm pretty widely travelled) and I loved the Night Safari there, too. Changi prison is a heart-rending place, with a lot of history. The mix of chinese, malay and indian food is really awesome, and wonderfully cheap if you go to hawker's halls and so on. There are huge markets there, the lovely botanical gardens with its internationally renowned orchid centre, a theme park island (Sentori? can't remember the name) if you're into that kind of thing... There's a company that runs a series of guided themed walks around different parts of the city, relatively cheaply, and I did 4 or 5 of them on different themes, and found them fun and fascinating, and they give you a real insight into the architectural, cultural and historical aspects of Singapore that you might otherwise not even realise existed.
It doesn't have to cost a lot, though of course if you're after 4 star accommodation, it will. I suggest finding accommodation close to a metro station, because it's so safe and easy to get around, and the technical 'centre' is very characterless in my point of view.
At the moment we are tossing between Singapore and Japan.... The thing is we only have about 10 days, and if I went to Japan, I'd need much longer by the time I caught up with people etc..
n2l - You'd be surprised. Kuta was like that, you could spot the bogans everywhere by the Bintang clothes (on the whole family) and the girls with braided hair, but the other parts of Bali I visited were stunning. Ubud is gorgeous, which is where we stayed for 10 days and Padang Bai was also really pretty. If I went back to Bali and wanted to stay somewhere beachy (as opposed to up in the mountains where Ubud is) I'd probably stay there. Kuta was exactly as horrid as you'd imagine, though strangely our friends loved it there.
10 days would be great in Singapore. Being so close to Malaysia (they actually do 1 day tours to Malaysia from Singapore) you could also go there if you wanted to see a couple of different places.
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