Workisfun
What you need to understand is the following. In the civil world a handover is effectively a transfer of ident - nothing more. In addition to this transfer of control is never done unless the aircraft is "clean" (or at least, if it's RIS, relevant traffic information is passed).
So - on this basis - when you pre-note the traffic and tell the unit the squawk it's on to enable them to ident it then that's all that's required. They'll take the details, allocate you a squawk, and they'll be watching for the squawk to change. There is no, in the civil world, requirement for a further formal handover as taught by the military.
Another subnote to this - in the civil world, even doing the above, the term "contact............" is still used (not freecall) because the details of the flight have been passed and acknowledged. Freecall is used only when details have not been passed.
Now - if it's RAS then the above still applies. All that changes is if you have to put it on a heading for traffic avoidance then you'd say "contact..................with heading"
Hope this makes sense and explains things.