In this deck we have 3 different planeswalkers, all with their different purpose.
Elspeth, Sun's champion
This is our most valueble friend. Her abilities consist of the following:
+1 Put three 1/1 white soldier creature tokens onto the battlefield
-3 Destroy all creatures with power 4 or greater
-7 You get an emblem with "Creatures you control get +2/+2 and have flying"
This planeswalker is one of the most annoying planeswalker for the enemy to deal with. Its +1 ability makes it easy to protect elspeth from the enemy damage as you can use the soldiers to block incoming attacks. Every round you will get three brand new ones ready to defend her.
As we want to control the board making sure we are strongest as much as possible, elspeth -3 ability fits in perfectly. She can kill of big threats from the enemy without killing most of our core base of creatures as we only have one creature that has above 4 power. Even when her -7 ability lands, she wont kill of her soldiers with this ability. It will kill of two types of our other creatures at this time, but creating three 3/3 white soldier tokens with flying is very game changing and is hard to recover from.
TL:DR Elspeth is our best win condition as she can protect her self and in the end have huge impact on the game. Keep her alive and use -7 ability.
Gideon Jura
This planeswalker will help us both defending our other planeswalkers and deal damage to our enemy. His abilities are the following:
+2 During target opponent's next turn, creatures that player controls attack Gideon Jura if able.
-2 Destroy target tapped creature.
0 Until end of turn, Gideon Jura becomes a 6/6 Human Soldier creature that's still a planeswalker. Prevent all damage that would be dealt to him this turn.
Gideon Jura
can deal some very good damage while using his 0 ability, only concern you should have while doing this is that your oppenent will be able to "Destroy target creature" as you swing in with him.
This ability should be used when you have no other purpose for him and you are not too concerned that your oppenent can destroy him because of him changing to a creature.
When you have other planeswalkers down and trying to pump them up, Gideon Jura should be used as a "shield" for them, using his +2 ability do ensure that the enemy will not attack the other planeswalkers.
If you plan to use the +2 ability, it would be prefered that you have some creatures that can kill the incoming attack and that Gideon will not obviously die from this attack. After the attack has been made, you can use his -2 ability to finish one of the creatures the opponent attacked with, given that the creatures doesnt have vigilance it would be tapped for your next turn.
TL:DR Gideon Jura is our shield preventing enemy from attacking our other planeswalkers.
Tamiyo, Field Researcher
Tamiyo, Field Researcher serves as our utility planeswalker and her kit helps us out in many siturations. Her abilities are the following:
+1 Choose up to two target creatures. Until your next turn, wheneer either of those creatures deals combat damage, you draw a card.
-2 Tap up to two target nonland permanents. They don't untap during their controller's next untap step
-7 Draw three cards. You get an emblem with "You may cast nonland cards from your han without paying their mana cost.
As we want to go through our deck as much as possible and always having as many cards as possible to always have a response to our opponent, the +1 helps us drawing some extra cards. This ability can be used on Gideon as he turns into a creature making it a safer card draw as the damage he takes will be prevented. This ability can be setup together with Gideons +2 ability as you are sure that enemy creatures will attack Gideon and you may block as you please, which is better than attacking with your own creatures as your opponents will decide blocks then.
Tamiyos +1 ability can be put on Elspeths soldier tokens aswell as they are not very valueable and can be traded for cards in this case.
If enemy has too much board presence Tamiyos -2 ability can tap two targets and make sure those cannot attack you or your planeswalkers. This ability can be setup with Gideons -2 Ability, tapping two creatures and using Gideon to destroy one of them.
As the deck is mana hungry Tamiyos -7 will help out with casting anything without wondering if you would have enough mana for it.
TL:DR Tamiyo is used for utilities giving card draw and setting up comboes for Gideon to destroy creatures.