A disclaimer: The items below are my own preferences from the panoply of hobby brands. The range of paints, tools and materials available for miniature painting is probably the best it has ever been and everyone will have their personal favourites. These are the ones I use because I have found them reliable, I like their particular properties or just the because they fit the way I work.
They are not intended to be an exhaustive list, but to give a little insight into why I use them and what for. I also recommend researching online and getting advice from other painters, especially those who inspire you.