Originally Posted by IceTrojan

T3 to T1 - Take the Red line.
T1 to T3 - Take the Blue line.

Where is your flight to HI departing from? If you're flying UA again, what I would do is take the Red line T3 to T1, but then walk back to T3, and use the security entrance by AA, which usually has less people. Once you're behind security, just make a hard right and walk towards the UA gates.