I highly doubt you're going to be able to walk into a shop anywhere in Singapore and buy an ASIC or FPGA

Personally if I were you I'd buy BTC on Gox or some other exchange (they are all funded by bank transfer) and use the BTC to buy whatever mining equipment you want in these forums. Do your homework though, and don't get scammed.

After all the whole point of BTC is to bypass using credit cards