I should add that although I covered the rules set by Wizards, you should absolutely go and double check it yourself and see if there are updates before you print their proxies
If a creature dying at the same time as the equipped creature (including the equipped creature itself dying) causes a triggered ability of the equipped creature or an emblem you own to trigger, that ability triggers an additional time
[163] it was released in December 2021
Skyshroud Claim is generally the best since it puts lands into play untapped, but the others have advantages depending on your strategy
Tacking on the Root Sliver ability of not being able to counter the creature or any future creatures is certainly powerful as well
Other Persist creatures need a little more help, but as long as you have something in play that damages your opponent when a creature dies or enters the battlefield, like Impact Tremors, its still a combo that ends the game on the spot