When it comes to installing an air conditioning unit, depending on what type of unit you are wishing to install will depend on how simply and easy it is to install. There are a couple different styles and types, central air conditioner, split system air conditioner, and window air conditioners. Central AC units are most recommended to be installed by a professional due to the need of specialty tools and them having a wide knowledge base.
The most simple to install are window units where the most you may have to do is install a small dock for the bigger units to sit on outside of the window frame. Then they just sit inside the window, plug it in, and you are set to go.
Split system units have a few more steps to install, but can easily be a DIY project. Securing mounting the indoor unit to an appropriate wall location then drilling a hole in the wall for the piping about completes the indoor installation, but then there is the outdoor install. The outdoor installation is nearly as simple by making sure the concrete platform the outdoor will set on is installed and level. Then placing the outdoor unit on it, connect all electrical wires, securing all pipes, and then bleed the air and humidity from the refrigerant. From there it is just tidying up by making sure that the joints of the piping are wrapped with insulating covering and tape, affix the pipe to the wall with clamps and sealing up the hole with expanding polyurethane foam.