Sun Princess Ring
The Sun Princess Ring provides constant HP regeneration at a rate of 2 HP per second. The rate can be slightly increased by performing a glitch where you spam the equipping and unequipping of the ring. The rate of HP regeneration can be stacked by equipping the Blessed Caestus in one hand and the Blessed Red and White Shield in the other hand. Use HP regeneration to help you conserve Estus.
Pontiff Sulyvahn
SL1 Pontiff Sulyvahn, Dark Souls III
This boss is a parry simulator. Most attacks he performs with his right-hand weapon, i.e. the fire sword, can be parried. If you are not comfortable parrying Pontiff Sulyvahn throughout the whole fight, at least learn to parry his very first attack. The fight can be shortened by triggering the effect of the Red Tearstone Ring. Equip the Small Leather Shield in the left hand and buff the Raw Broadsword+10 with Gold Pine Resin. Parry the boss' very first attack and get a riposte. Wait for your stamina bar to fully recover, then deal R1 x 4, at which point the boss enters his second phase. During the second phase, you do not have to parry any of the boss' attacks. Simply wait for him to start cloning himself because that is a safe window to get in a few R1s. As soon as you see him starting to clone himself, buff the Raw Broadsword+10 with Gold Pine Bundle and run in to deal R1 x 3, enough to kill the clone. Rinse and repeat until the boss is defeated. The difficult part of the second phase is dodging the boss' attacks. Be at some distance away from him and patiently wait for him to perform the cloning animation.
Anor Londo
Estus Shard at Anor Londo, Dark Souls III
Location of Easterner's Ashes, Dark Souls III
Start from the Pontiff Sulyvahn bonfire and grab the Easterner's Ashes on your way to Anor Londo. Give the Ashes to the Shrine Handmaid and she would sell an unlimited amount of Large Titanite Shards, among other new items. Light the Anor Londo bonfire. Pick up the Giant's Coal and give it to Andre so he would be able to infuse your weapons with Chaos, Lightning, or Simple. Collect an Estus Shard from a wooden chest in the area before the arena of Aldrich. You should now have 14 uses of your Estus Flask.
Aldrich, Devourer of Gods
SL1 Aldrich, Devourer of Gods, Dark Souls III
SL1 NG+7 Aldrich bleed strat, Dark Souls III
This boss is weak against fire. Buff the Raw Broadsword+10 with Charcoal Pine Resin/Bundle. One of the most devastating attacks is the rain of magic arrows, which Aldrich usually performs if your character is far enough away from him. The rain of arrows in phase one is easy to dodge. In phase one, as soon as you see Aldrich aiming his bow at the sky, sprint to him from your left and position your character near his tail where you can safely get in a few hits. The rain of arrows in phase two can be prevented by always staying near and in front of Aldrich. Although the boss is weak against fire, Lightning Urns do more damage to the boss than (Black) Firebombs. Throw a Lightning Urn while you wait for Aldrich to perform an attack that you can punish. Lightning Urns and (Black) Firebombs are particularly useful during phase two, where some of Aldrich's attacks can leave a trail of fire in front of him. Throw a Lightning Urn or (Black) Firebomb while you bait an attack. Aldrich is also vulnerable to bleed. Consider using the Bandit's Knife+10 and buff it with Carthus Rouge or infuse the weapon with a Blood Gem.
Location of Sun Princess Ring, Dark Souls III
Defeat Aldrich and grab the Sun Princess Ring. Start from the bonfire "Aldrich, Devourer of Gods". Ride an elevator up one level and enter a room to grab the ring. The ring provides gradual HP regeneration, freeing the left hand to equip another weapon such as the Grass Crest Shield.
Undead Settlement
SL1 Help Sirris to defeat Hodrick, Dark Souls III
Continue with Sirris' quest line. Start from the Cliff Underside bonfire and make your way to the arena of Curse-rotted Greatwood. Be summoned into Sirris' world and help her defeat Hodrick. Warp back to Firelink Shrine and accept her knightly vow. You would now be able to summon Sirris at Lothric Castle and the Grand Archives to help you clear those two areas.
Location of Hawk Ring, Dark Souls III
Collect the Hawk Ring from the giant archer. This ring extends the range of bows and crossbows. The extra range is useful for sniping distant enemies. The item is dropped by the giant archer after you have collected all Young White Branches found near birch trees at these locations: Undead Settlement, Cathedral of the Deep, and Farron Keep. The birch tree at the Undead Settlement is located near where you picked up an Undead Bone Shard and the Mortician's Ashes. The birch tree at the Cathedral of the Deep is also found near where you picked up an Undead Bone Shard and near the location of a Grave Warden. The birch tree at Farron Keep is found in a swamp and is guarded by a Great Crab. Alternatively, killing the giant archer would also reward you with the Hawk Ring, but you are not a monster, right?
Warp back to Firelink Shrine and purchase anything you need from Patches. Next, purchase anything you need from Greirat, then talk to him and send him on his third pillage mission. Warping back to Firelink Shrine again and Greirat should have left the shrine. Greirat would not return from the third and final pillage quest. His ashes can be collected at the Grand Archives. Talk to Patches to advance his quest line. Warp back to Firelink Shrine and Patches would have left the shrine. He will return after you have defeated the Dragonslayer Armour.