Moving tables between schemas

Hi,

In my database, I created a lot of tables before I found out about
schemas. It's a mess!

Suppose I want to get organised, and create a couple of schemas. How do
I move existing tables into my newly created schemas?

e.g.

public.table1 -> mynewschema1.table1
public.table2 -> mynewschema2.table2

?

Thanks.

Max