This was asked about over here, and I thought it might be useful to make a post about it.
When dodging it's useful to invest in the minimal speed equipment regardless of build (Wand of Speed, 1k gold Boots) and you can supplement this with the Warpstone if your micro is strong enough (this is necessary in some cases.)
*With both Mines and Boulder it's key to watch for the toss animation, since that will tell you to move before you actually get hit.*
Boulders - you need to get some distance to dodge a boulder. Moving in unpredictable zigzags away from the Rook will keep him from throwing. It's better, imo, to travel in one direction until you see the throw animation start and then quickly dodge, as this will give you 10 seconds to plink away at the big castle from a distance (if you are playing melee you can close distance for 7 seconds or so but then you better start running again)
Some good Rooks will wait until you are channeling a skill to throw, so if you are playing against a good Rook get some distance, and let your DG start a spell animation before quickly cancelling and moving. You want to trigger the boulder and safely dodge it before you try any channeled spells or ports, under most circumstances.
If you are playing on a team make sure your DGs have some lateral spread from the Rook so that one boulder won't catch all of you.
Use lane corners to dodge, as boulders can't travel across them.
Rooks love to be on top of you when they boulder. One popular Rook strategy is porting to a flag you are capping and quickly throwing before you can dodge. When capping a flag keep moving around it and don't stop paying attention just because your enemies are on the other side of the map. Rooks love warping too, but warp has limited range. Stay out of that range or warp yourself.
Be aware of how the Rook you are facing is built. As much as possible defuse his skills before engaging him.
Mines - Regulus has alot of range on those mines, and they have a lateral spread. He loves to creep up on you in a 1 v 1 with his ally and tossing the mines so that the middle one is right under you and all three explode for 1200 damage.
When dodging mines be aware of Reg's location, watch for the toss animation, and move either forward or backward relative to the throw. If you dodge sideways at least one of the mines will hit you, because of the spread. You have a short delay before the mines activate - use it.
Observation wards are ridiculously cheap for their utility - (When I'm drunk and have no short-term memory) I like to put one next to each flag in a Reg game. If you can't remember where enemy mines have been placed in the past you should use them too.
Regs love to mine flags, especially with multiple throws - so if you walk up and hit a mine don't keep going unless you like to die. Approach flags and lanes from unlikely and inconvenient angles whenever possible.
Oak's shield is great for blowing up minefields.
Reg will use alot of the same moves as Rook, so keep that in mind when you dodge.
K, all I got time for. Hopefully this is helpful, and I encourage all you micro types to add tips and disagree and such
