Question : Move Data - Different Schemas

I have 2 SQL 2008 databases.  In database "A" I have a table that I want to extract data from and then import that data into a table within database "B".  The schema is a bit different and has different column names so it's not just a straight copy.  I need to have the data synced up only when it changes.  

Any thoughts on how I would do this?  I know I can use SSIS to move data but I'm wondering how to move the data and set it to run when the data changes.

Should I just create a job?  look at replication?

Answer : Move Data - Different Schemas

Since both databases are in same server, trigger would work faster compared to the other options..
And let us know if you need any help in constructing triggers for this scenario..