Not sure how long you are dedicating to Singapore exactly but these, IMHO are definitely worth your time checking out. I suspect the Malaysians will come along soon with their tips
1. Night Safari - Singapore Zoo
Starts from 730pm at night - you can view all the nocturnal animals in their natural habitat riding a tram or walking. Quite an experience. Pitch dark, calm and serene. A lot of Singaporeans tend to scoff at the Night Safari but I visited it for the first time ever since it opened years ago before I left Singapore and I was really impressed.
2. Sentosa
This will take a day - loads of places to check out. Go by cablecar leaving from Harbour Front.
Contains a museum of Singapore's history and it also has an underwater world, and the infamous Cafe Del Mar opened a branch on one of the beaches, where you can chill and have cocktails during the day. Bring your swimming stuff!
http://www.cafedelmar.com.sg/index.html
Unfortunately, Singapore is not famed for beaches.. I mean, we had to import sand from Honolulu Beach just for the MAN-MADE beaches on Sentosa Island.
You are better off checking out places in Malaysia or hop onto a budget flight from Singapore to Bali in one hour.
3. Clarke Quay
For night life. It has loads of pubs / clubs and restaurants to choose from (the Ministry of Sound is here). Great for a night stroll and people watch after a meal if you are not into clubbing.
There's also the river cruise if you like to do that. You'll take a bumboat and cruise down Singapore River (which runs parallel to Clarke Quay) and it will be quite magical finding out how this small country depended on that very same river for its growth and success today.
Singapore is higly cosmopolitan yet very diverse in culture. The Chinese make up the majority of the population but the Malays and Indians have also stamped their cultual mark in different parts of Singapore.
4. Make a trip to
Little India - accessible by the MRT (Singapore's version of the London tube) and you will feel like you are 'almost' in India.. Just walk the entire stretch of road to soak in the atmosphere and admire the beautiful Hindu temples as you go along. Cheap bargains are also abundant here for jewelry and fabric.
5. Another place to check out is
Chinatown. I took a friend visiting Singapore there once and she went home with loads of beautiful Chinese handicrafts - beaded evening bags and shoes, fans, antique chinese home decorative items, silk scarves, etc.
Do remember to bargain.
6. Visit the Peranakan Museum - you will be intrigued by their lavish costumes, rituals and unique culture.
7. Go to the famous
Raffles Hotel and have a Singapore Sling. Afternoon tea there is fantastic as well.
8. Singapore Flyer - again, its our version of the London Eye which opened in 2008 (we really need more originality).
9. Orchard Road - your wife will be thrilled. Long long stretch of huge shopping centres ranging from your high street brands, local brands to the high end stores.
FOOD
If you are on a budget, eat at the hawker centres versus restaurants and cafes where you can get local food at very very reasonable prices - and I am talking about less than 8CHF per person. The only down side is the sweltering heat. Dont let the initial impression of a hawker centre fool you - some look oily, hot and dirty but Singapore has a high standard of hygiene and all food establishments are required to display their health certificate issued by the health authority, grading from A being the best to D. If you are apprehensive, just check the store's grade before ordering. Hawker centres are available everywhere. The most touristy ones are Newton Circus and Lau Par Sat - which also mean you pay tourist prices versus what the locals pay. Hop into a taxi and ask the driver for his favourite or your hotel staff.
There are too many must-try foods in Singapore. I suggest you do a quick google yourself as I will seriously drool and die of homesickness if I type them out now.
TRANSPORT
Best way to explore the city is via MRT as traffic during peak hours are a NIGHTMARE - Singapore's version of the London tube. Highly efficient and zero chances of strikes. Most of the interesting places (except the Night Safari at the Singapore zoo) are accessible by the MRT.
Alternatively, taxis are rather reasonable as well. Ask for a receipt when you get into the taxi (regardless if you are going to have any use for them later on or not) as there are rogue taxi drivers out there who like to take the poor unsuspecting tourists on a joy ride.
Have the most wonderful time in Singapore.