Best Method For Moving Blocks Of Records From One Db To Another?

I wanted to set up a mechanism that would transfer blocks of records (a few dozen to in rare cases a few thousand), with slight modification, from one database to another. It's a sort of custom partial archiving process that would be triggered from a web-based admin application. Records in the target db would be identical except:

-- the primary key in the source table, an identity field, would be just an integer in the target table
-- the target table has an extra field, an integer batch ID supplied by the web application that triggers the process

It's a simple, if not efficient matter to do it within the web application: query the source table, suck the records into memory, and insert them one by one into the target db. This will be an infrequent process which can be done at off-hours, so a bit of inefficiency is not the end of the world. But I wondered if there is a more sensible, orthodox approach:

-- Could this process be done, and done efficiently, as a stored procedure with the batch ID passed as a parameter?
-- Is there any way to do a bulk insert from a recordset or array in memory using ADO and SQL? And if so, is that better than inserting records one by one?

Advice on the best general approach would be appreciated, and I will try to figure out the details.