I think if you are looking for well paying internship - there are none available. Most big companies pay pittance to offer you an internship as they see it as their social responsibility and a PR exercise.

You need to decide if the work experience you gain is relevant to the type of career you want to pursue.

If you want to make more money you should be a waiter as there is a shortage of waiter now in the market and restaurant owners will pay like S$8 an hour for an enthusiastic Singaporean youth who is keen to serve.