How do I move a table into a schema in T-SQL

ALTER SCHEMA TargetSchema 
    TRANSFER SourceSchema.TableName;

If you want to move all tables into a new schema, you can use the undocumented (and to be deprecated at some point, but unlikely!) sp_MSforeachtable stored procedure:

exec sp_MSforeachtable "ALTER SCHEMA TargetSchema TRANSFER ?"

Ref.: ALTER SCHEMA

SQL 2008: How do I change db schema to dbo