Not a massive distinction to add but if you're coming to my tower frequency, it's not actually (usually...) a particularly busy frequency, nor is the transferring position sat next to me. However, it is time critical and as a result, I don't want the spiel either because if you're timing's bad a go around could easily result.
Strictly speaking, you should state the callsign of the station being addressed on first call but as previous posters have said, don't sweat on it too much, so long as I have your callsign, I'm happy enough.