I called up a few plumbers and asked them for quotes and they ranged from $90-$220, including the tap. Main reason I called the plumbers is because I didnt have the tools and I thought acquiring the tools would be expensive.
But some google search and you tube videos and I found what tools are needed and they are pretty cheap to buy.
You need the tubular wrench of the correct size. It looks like this:

The reason you need this and not a normal spanner is because the nut securing the tap at the bottom is in a very narrow space.
Next thing I needed is a adjustable wrench that looks like this

This was needed to open the connectors.
One challenge for me was that the existing tap was a mixer tap, which is more expensive that costs like $50 and not very easily found in SG or online. The owner installed a mixer tap in my house, even though there is no hot water, basically he used the same pipe supply to both inputs.
I decided to change to a normal tap as it was easier to find and was cheaper. But this meant that I needed a new steel braided hose as the existing tap had 2 thin hoses and wouldnt fit the normal tap.
So I got the tools I needed from a HDB DIY shop. I have ordered a new kitchen tap+hose from Shopee which cost me $18 with shipping and it will hope fully arrive by tomorrow/day after. Until then I need to live with the steady dripping of water from the current tap.
Picture of current tap

How it looks underneath after I have unscrewed the tap nut

It this thing becomes successful, I would have saved about $50, including the price of the tools I have acquired. The tools cost me like $15 and the tap itself cost me $18.
But more importantly I have learnt a life skill
