I don't know much about TZ2, but poster Fibel (I hope spell his name right) has taken many excellent pictures with his TZ2.
If can only buy one camera at this moment, I will suggest the TZ3 for its wide angle (especially when in 16:9 format) and tele lens (great for taking street and people pictures in day time), plus it is relatively easy to use. TZ3 can take low light pictures when properly exposured, not extremely low and no fast moving subject, though. You may also need a mini tripod (you can buy it in Aisa, cheaper than in Europe, which presume where you live. Try the one with flexible legs which can clamp itself around lamp pole), if the photographic venue allows setting up tripod, by all means use the tripod at low light, just remember to disable the OIS for long exposure time shots.
Which part of Asia are young going? If HK is included, then I will suggest after working for a while, when you get your paid, buy a Fuji F20 here (lower cost, Low resolution LCD, shorter battery life and no manual control) or a Fuji F30/F31fd. The F31fd grey market price is about US$220, may be by that time you will find it acceptable, monetary wise. The xd Card is slightly more expensive than sd card, 512M will be good enough, most modern Asian countries have photo finish shops which can burnt CD for you.
The F31fd (F20/F30) will allow you take much better low light pictures, with or without flash. The i-flash system is the best in the P & S category, do not worry about using it indoor and outdoor, its fill-in flash is really nice.
It is difficult for me to take similar picture (below) with my TZ3. 3 months is a long time, you can shop around and really think about getting a F31fd or F30/F20 to cover all your photographic needs, afterall, 3 months in a distant place is a long time, if spending a little more to perserve the memories is justified.
Finally, here are the prices of grey market TZ3 and F31fd selling here in HK for your reference.
TZ3 - around US$285 (may include 1g card)
F31fd - around US$220 (no card)
You can also brought either F31fd or TZ3 which ever is cheaper in your country, then buy the other in the country you are going, but you will need to check the prices and availability there before hand.
Wish you a good and enjoyable trip to Asia
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Best Regards,
Danny
F30 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/F30/
TZ3 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/TZ3/
FZ1 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/FZ1%20PICS/
FZ5 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/Panasonic%20FZ5/
FX1 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/FX1%20PICS/
FX5 Gallery
http://s8.photobucket.com/albums/a44/yeeonly/FX5%20PICS/
My Albums
http://photobucket.com/albums/a44/yeeonly