Rainfall is recorded by a rain gauge. Snowfall can be measured by using a ruler to record the depth. If the precipitation occurs while the wind is strong precipitation measurements must be measured carefully. Snow depth would vary considerably because of drifting so measure the depth at many flat, open locations and take an average estimate. In making an observation while there is precipitation, note the time precipitation began and ended.
Wind has a speed and a direction.
Wind speed is measured by an anemometer. Wind direction can be estimated by noting which way a flag is blowing. Remember wind direction is taken as the direction the wind is coming from. Visibility is generally a good indicator of precipitation intensity. Note the distance to landmarks near the observation spot and determine what landmarks are visible when there is significant precipitation.