Diana Craig

In other words, the whole swirling atmospheric mass is so sensitive to infinitesimal changes within it that everything affects everything else.

the weather today will be much the same as the weather yesterday.

Meteorological organizations and museums may offer some equipment, or look online. Organizations and websites are also a good source of inspiration for experiments and homemade equipment. You could start with the following:
www.salemclock.com/weather/weather01.htm
www.miamisci.org/hurricane/weatherstation.html
www.rmets.org/weather/observing/index.php