Well, it depends.
If the updates you intend to apply relate to isolated tables, that is, all data for this table comes only from the publisher, then you can use transactional replication.
If, on the other hand, you want to combine the contents of the table, that is, the order table, with orders placed on both sites, then you will want to explore the use of merge replication.
As for triggers, there is a non-replication configuration that you can use to control their behavior. See the following article for reference.
http://msdn.microsoft.com/en-us/library/ms152529.aspx
Cheers, John
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