Flat
Arguably, the most important thing is to ensure the surface on which you're soldering is flat. If it is at an angle, then the molten solder may run and ruin parts of the project. There is no need to check the top with a spirit level, but make sure it is not obviously tilted.
Fireproof
Make sure the surface being soldered onto and the worktop underneath are fireproof. The soldering iron may not reach the temperatures of an arc welder, but special care should be taken. Do not solder near flammable materials of any kind.
Dirt and Grease
Wipe away any dirt and grease from the surface to which the solder is applied. This is not a safety measure, but is required to ensure good adhesion between the solder and the surface.
Corrosion
Remove any corrosion from the surface using some wire wool. Any rust on the surface will stop the solder from working properly, as it does not bond well to oxidized materials.
Heat
Warm up the surface to be soldered first with the soldering iron. If the surface is cold and the solder is molten, then it may cool too quickly to fuse well.