No need for loops, Pandas can do it directly now, just pass a list of columns you want to convert and Pandas will convert them all.

cols = ['parks', 'playgrounds', 'sports', 'roading']
public[cols] = public[cols].astype('category')

df = pd.DataFrame({'a': ['a', 'b', 'c'], 'b': ['c', 'd', 'e']})

>>     a  b
>>  0  a  c
>>  1  b  d
>>  2  c  e

df.dtypes
>> a    object
>> b    object
>> dtype: object

df[df.columns] = df[df.columns].astype('category')
df.dtypes
>> a    category
>> b    category
>> dtype: object

To change the dtypes of all float64 columns to float32 columns try the following:

for column in df.columns:
    if df[column].dtype == 'float64':
        df[column] = df[column].astype(np.float32)