Tungsten is a hard refractive metal that has almost the same density as gold (19.3g cm-3). From a home chemistry perspective the element is not that exciting as most of its compounds are colourless and in the group oxidation state of +6.
There are three areas worth exploring; Tungstates of other metals, reduction to blue species in lower oxidation states and also compound ions.
This site used the following compound of tungsten for experimentation:
Tungsten cylinder 99.9%, 1Kg