Dice, I started about a year out as well and hit the lottery thru networking and got to a chief pilot interview which got me an actual interview. Starting at UAL in Aprilish.

Your flight time for a major is fine if you can go that route....otherwise if you are hoping for the computer to select your app - try to increase your flight time, the other posts are what I have seen as well (4000tt 2000pic).

FWIW, my time
3900tt
2500fw
600 fw pic
1400helo
400 helo pic
Dir Ops
Chief pilot
Chief safety
IP

Good Luck