The choice of finish for fixtures in the bathroom and kitchen ultimately depends on your personal preferences and the style you want to achieve. Each finish has its own unique characteristics.  

1. Chrome: Chrome is a classic and versatile finish that works well in both bathroom and kitchen settings. It offers a shiny and reflective surface, which can create a clean and polished look. Chrome is known for its durability, ease of maintenance, and resistance to tarnishing and corrosion. It complements a wide range of design styles, making it a popular choice.
2. Brushed Nickel: Brushed nickel has a warm and soft appearance, thanks to its matte surface with visible brush strokes. It adds a touch of elegance and sophistication to bathroom and kitchen fixtures. Brushed nickel is versatile, working well in both contemporary and traditional designs. It can also help to hide water spots and fingerprints compared to shinier finishes.
3. Brushed Gold: Brushed gold, also known as satin gold or champagne gold, has gained popularity as a luxurious and trendy finish. It offers a warm and inviting look with a soft sheen. Brushed gold fixtures can add a touch of glamour and sophistication to your bathroom or kitchen. They work well in contemporary and modern designs and can create a striking contrast against neutral or darker backgrounds.
4. Matte Black: Matte black has become increasingly popular in recent years, especially in modern and minimalist designs. It offers a sleek and bold aesthetic, creating a strong visual impact. Matte black fixtures can serve as a focal point in the room and add a touch of sophistication. While they can be relatively easy to maintain as they hide water spots and fingerprints, they may require extra care to prevent scratching or chipping.

Ultimately, the "better" finish depends on your personal style, the overall design of your space, and the level of maintenance you're comfortable with. Consider the other elements in your bathroom or kitchen, such as countertops, cabinetry, and flooring, to ensure the finish you choose complements the overall aesthetic. It can also be helpful to see samples or visit showrooms to visualize how each finish would look in your space.