Firstly, you should do some research on the rules and regulations when it comes to renting a property in Singapore. Depending on your budget and rental requirements, you can search for a suitable property on https://www.propertyguru.com.sg/property-for-rent using the filters to narrow down your search according to budget, location and project type.
You can engage a property agent to assist in your search. He or she can shortlist several properties for you to view. Once you have found a place you like, you can negotiate on the rent before signing the tenancy agreement. Once the lease is signed, you can pay the deposit before moving into your new home.
Hope this answers your question.