One way to create professional looking colour palettes is to take a few tones, tints, and shades of your primary colour (avoiding the pure hue), and then add in another pure hue (or close to pure) that’s at least three spaces away on the colour wheel.
Another way is to start with your primary colour and find its complementary colour (the one right across from it on the colour wheel). Then find the colours on either side of the complementary colour. Those two colours and your original colour make up a split complementary colour scheme.
Or the absolute, most simple way to pair colours, is to use the colour palettes below.