On our Pediatric unit, we take kids into the treatment room, so they don't associate their rooms with "scary" experiences. Everything we need is in our treatment room, just like in the ER, and one of us usually gets everything ready before we bring the patient in. The bag of fluids is spiked with the tubing, so the tubing can be primed, and then hung on a pump. We lay out IV catheters (the second one is for good luck), alcohol pads for cleaning, tape, gauze, and armboards (we have to secure IV's to toddlers' hands REALLY REALLY well), NS flush syringes, empty syringes and tubes for bloodwork, and a sheet to wrap the child in. (Really strong kids get the papoose board.)
All that said, with the teenagers, we usually just do the IV in their room. We get the bag and tubing ready, roll it in on the pump, and bring the rest of the stuff to their bedside table. (And I always lay a towel under their hand, in case I make a mess.)
Nivarion, yikes, what a scary ordeal!