You won't be able to upgrade the bridge without performing MAJOR changes to the guitar. Check any online guitar-store for the other components. As far as the strings go - the
truss rod is in need of adjusting when switching to a thicker gauge, rather than the bridge. Sure, you will need to spend some time with intonation, but that's not as important as neck-warping.
And the two small screws on each side of each string on the bridge adjusts the string height. For intonation, use the star-screws on the back of the bridge.