Before you start writing checks, first take some time to consider what you want to buy and why.
Do you want to enjoy curating an art collection? Decorate your home with a beautiful painting? Have a stab at art investment? Whatever your goal is, try to be clear about it because it will determine your buying strategy. The second step is all about practicalities. Try to allocate a budget, overall and per piece. This does not need to be set in stone - you can always adjust it up or downwards - but it is good to operate within some parameters. Consider space restrictions you may have in your home or office (does the painting fit in the elevator or does it need to be hoisted up through the window) and potential threats to the works (i.e. are fragile artworks likely to be destroyed by small children or pets).