How can I connect to a database using PyMySQL?

Question

I am making a database manager in Python and I want the user to be able to select a database.

I know that one can connect to a database using the following code

connection = pymysql.connect(
    host='localhost'
    user='root'
    passwd=''
    db='my_database'
)

But what if the user wants to connect to a different database later on? How would I tell connection to connect to a different database? Or better yet, omit db and then add it later on.

Answer 1

Like this:

connection1 = pymysql.connect(
    host='localhost'
    user='root'
    passwd=''
    db='my_database'
)

connection2 = pymysql.connect(
    host=?
    user=?
    passwd=?
    db='my_other_database'
)