Hi @Thaobui,
A warm welcome to the Bunnings Workshop community and thank you for your question.
Before proceeding, we'll have to confirm what your cabinets are coated with. They could be either glossy laminate or two-pack paint. If you're aware of the specific product that was used, I can check for you, otherwise you will need to do some investigation.
The easiest way to determine whether it is laminate or two-pack paint is to look closely at the corners. Laminate is a plastic coating, so you can usually see it stretching slightly around the corners of the cabinet. If you can have a look at the cabinets and upload some close-up photos of the edges, I'd be happy to have a look.
If the cabinets are a glossy laminate, you should start by sanding them back to remove the glossy coating. You'll then have to clean them with sugar soap to remove any residues that can affect the adhesion of the paint.
Once prepared, I'd suggest using the Dulux Renovations Range paints. Check out How to Paint Laminate Kitchen Cabinets for some guidance on their use.
If you find the cabinets are two-pack paint, have a look at my colleague @MitchellMc's advice in How can I paint over a two-pack painted cabinet with enamel paint?
There is no paint that can be used directly over two-pack paint so you will need to sand the cabinets back to bare before painting.
With the splashback, you are going to get a much better finish if you remove the splashback and tile it properly. If you are already renovating it is worth the effort to do it well.
Let me know if you have any further questions.
Jacob
