Well this is my own opinion, but when I've just a bought a guitar and want to change the strings to 10's, this is how it goes-
-Remove old strings, unwind, don't cut.
-Give the guitar a good clean, since yours in new, a wipe down will do.
-Fill bridge and nut with Graphite, put on new strings.
-Tune up, let stand for 30 min's, re-tune.
-Check intonation, string height, pickup height/volume.
-Now, if your gonna use the Tremolo, let Robert or Fran give some notes on setting up that.
-Make sure you listen to them when it comes to putting electrical tape around the bridge posts or not.