My 1 year old wants to climb everything! Is there a play area that's particularly good for young climbers?

I think you can keep in mind Explorer Kid. It is the largest indoor playground in Singapore and has a cliff rock climbing wall, glowing ball pit, toddler area and an adventure highlands rope course. Different play areas to cater to children of different age groups. However, the Downtown East location is currently undergoing a revamp and should be ready by April this year. You can refer to its website for updates and rate: http://www.explorerkid.com/play_rates_packages