The mentality of thi build is to focus on dealing damage through auto attacks and recovering health with it. This build takes the focus away from spamming unnecessary smites for the sake of damage, thus leading to being mana starved.

Level 1 - Regeneration Master
A must for being beefy. I would choose this rather than Purge Evil. Purge Evil would be effective if you can constantly pump out Smite off-cooldown, but Tyrael does not have the mana pool to do that. So instead, opt for mana-free healing.

Level 4 - Vigorous Attacks
This build will revolve around this passive to provide self-sustain.

Level 7 - Searing Attacks
I would pick this talent. This increases basic attack damage and in result, giving more healing to Tyrael. It will provide more damage than a Smite.

Level 10 - Judgement
Honestly, this is up to the player's decision. Judgement would be a safe option. Sanctification just feels like a setup for the enemy to me.

Level 13 - Angelic Might
This is the talent i would say many Tyraels avoid. Again, this talent buffs your basic attack, which in turn gives healing for Tyrael. Burning Rage is great free damage, but it does not provide extra healing.

Level 16 - Blades of Justice
Blood for Blood or Holy Ground is good if you are more comfortable with those.
Go for Blades of Justice for that extra burst damage/heal on your auto attacks.

Level 20 - Nexus Blades
Hardened Shield is really good too.