A subset of fields can be made unavailable in the new layer by using the Field Info control's visible property. The third column in the control provides a dropdown option to specify whether a field will be visible or hidden in the new layer. The default is TRUE. Selecting FALSE will hide that field. You cannot use the hidden fields in a workflow if the newly created layer is input to a subsequent process or tool. If the output is saved to disk, only the fields listed as visible will appear in the new data.
I found this example and made it even simpler. FC equals your feature class, fieldList equals what fields you want to keep. My code is below.
#Define function to take an input layer and output a layer with only a defined field list
def filter_fields(FC, fieldList):
# List input fields
fields= arcpy.ListFields(FC)
# Create a fieldinfo objects
fieldinfo = arcpy.FieldInfo()
# Iterate over input fields, add them to the FieldInfo and hide them if
# they aren't in the list of fields to be kept
for field in fields:
if not field.name in fieldList:
fieldinfo.addField(field.name, field.name, "HIDDEN", "")
# Copy features to a layer using the FieldInfo
temp = "temp"
arcpy.MakeFeatureLayer_management(FC, temp, "", "", fieldinfo)
#Call the function
outFeature= "admin3_AllJoined"
filter_fields(outFeature,["Admin3_admin1Name","Admin3_admin3Name","Education_Table_Education_Percent","Education_Table_Education","Food_Table_Food_Percent","Food_Table_Food_Fraction","Healthcare_Table_Healthcare_Percent","Healthcare_Table_Healthcare_Fraction","Hygiene_Table_Hygiene_Percent","Hygiene_Table_Hygiene_Fraction","NFI_Table_NFI_Percent","NFI_Table_NFI_Fraction","Nutrition_Table_Nutrition_Percent","Nutrition_Table_Nutrition_Fraction","Protection_Table_Protection_Percent","Protection_Table_Protection_Fraction","Shelter_Table_Shelter_Percent","Shelter_Table_Shelter_Fraction","Water_Table_count","Water_Table_Water_Percent","Water_Table_Water_Fraction"])
#arcpy.CopyFeatures_management(layerName,outFeature)
arcpy.CopyFeatures_management("temp",outFeature2)