General point: Make sure to upgrade your weapons and armor as soon as you can for maximum efficiency, you can go to the map screen and use the Return to Hideout/to the Ebon Hawk fast travel if needed. This section will also include skill gear and is only focusing on the main character.
Harbinger:
First Level: Short sword, combat suit with long sword, Vibration Cell sword upgrade from the padawan remains.
2nd level: Dual blaster pistols using auto attacks, get Prototype Vibroblade from the sith remains before leaving in the escape pod.
Taris:
Upper city south: Upgraded Prototype Vibroblade, remove Dia bounty and accept her heirloom to get an Energy Projector sword upgrade;
North Appartment: Kill Largo for an Energy Projector sword upgrade (You can avoid a DS hit by saying that you won't say anyone that he's hiding there for the first time you talk to him, second time ask for credits and he'll give you some with no DS points, re-ask for credits and tell him ''That's too bad. Say hi to Davik's men when they stop by. '' and he'll turn hostile without netting any DS points.);
Lower City Appartment (east): Echani Fiber Armor from the Twisted Rancor Trio puzzle (Elinda, Ujaa, Ujii, Loopa, Fodo, Ashana);
Lower City Appartment (west): Armor Reinforcement from supplies near a Vulkar Gang Boss;
Undercity: Mission's Vibroblade once she joins (offhand weapon), Vibration Cell sword upgrade from Igear;
Inside the Black Vulkar Base: Durasteel Bonding Alloy sword upgrade from a footlocker after repairing a droid to explode into a pool filled with mines;
Inside the Black Vulkar Base: Mesh Underlay from the footlocker inside the Armory or if using the RCM second level, the room right in front of the elevator with the turret and the Gamorrean.
Accept to help the Beks, but also accept Kandon Ark's offer to kill Gadon. You will be escorted outside of the base, go back inside, get the swoop accelerator after defeating Kandon's bodyguards and bring it back to the Beks to do the Swoop Race. Once done, go back to the Hidden Beks and open the security doors using Kandon's code to get to Gadon and clear the hideout.
Inside the Hidden Beks Base: Memory Package (unique +1 intelligence) from Gadon;
Swoop Track: Brejik's Armband, Brejik's Belt and Double Bladed Lightsaber from Brejik remains. If using Bastila, make sure to remove her lightsaber before leaving for Davik's Estate.
Weapons:
Main Hand: Prototype Vibroblades upgraded with Vibration Cell, Durasteel Bonding Alloy and Energy Projector;
Off Hand: Mission's Vibroblade upgraded with Vibration Cell and Energy Projector;
Armor: Echani Fiber Armor upgraded with Armor Reinforcement and Mesh Underlay;
Armband: Brejik's Armband;
Belt: Brejik's Belt;
Implant: Memory Package (not needed at the moment).
Stay with the Echani Fiber Armor for the whole planet as the powers that we're taking for this part will not restrict armor.
Double Bladed lightsaber from Bastila;
Crystal Cave: Crystal Rubat from the formation;
Ruins: Crystal Sigil from Nemo's remains.
Grove: Eriadu Strength Amplifier from the Mandalorians.
To obtain later from Crattis Yurkal shop aside of the Ebon Hawk once you have the credits:
CNS Strength Enhancer
Calrissian's Utility Belt
Infiltrator Gloves (not required but i like getting them)
My usual progression is to collect useful gear and get credits from the races, black market quest and winning 10 times against Suvam Tam on Yavin Station for 7500 credits and a 20% discount on his gear. I also buy HK-47 while visiting Tatooine. Planet Completion afterwards is Kashyyyk, Tatooine, Manaan, Korriban. I do save the quests with LS rewards (Dantooine included) until i am done with the Genoharadan questline after the first Star Map to obtain LS Mastery as soon as possible.
Korriban:
Shyracks Cave: Qel Droma's Robe (can sneak past the Terentatek with Mission's Stealth if you struggle with it, should be fine however);
Dreshdae: Verpine Bond Gauntlets from the Czerka Shop;
Tomb of Ajunta Pal: Demolition Sensor;
Crystal Phond from killing Mekel if you want to go with double bladed lightsaber up to the end;
Tatooine:
Anchorhead: Crystal Damind to replace Rubat from the Dark Jedi ambush;
Landing Pad: Bothan Sensory Visor (critical hit immunity), Nerve Enhancement Package (mind control immunity);
Kashyyyk:
Landing Pad: Interface Visor from a footlocker aside of the Ebon Hawk;
Lower Shadowland: Circlet of Saresh from the Ritual Beast in the Lower Shadowland to replace the Bothan Sensory Visor.
GenoHaradan Power Gloves from the questline, complete it before your next Star Map. Senni Vek should meet you on your way back from your 2nd Star Map, make sure to NOT use fast travel to go back to the Ebon Hawk to not miss him, especially on Kashyyyk.
If you followed my route and finished Tatooine:
Krayt Dragon Pearl from the Krayt Dragon to replace Crystal Damind.
Yavin Station
Suvam Tan should have upgraded his inventory, buy:
Advanced Sensory Implant
Baragwin Assault Blade (unless you choose to go keep going with double blades for the rest of the game), you can switch to use it right away and switch your crystals to a Short Lightsaber or stay with a double blade until you can buy a second one.
Advanced Combat Implant
Korriban
Dominator Gauntlets from Mika Dorin special shop.
Yavin Station
Suvam Tan should have upgraded his inventory again, buy:
Baragwin Assault Blade (2nd for off hand) or Mantle of Force, make sure that you bought the first one before completing the last Star Map or you will only be able to get one.
Advanced Agent Interface
If you want to try a dexterity setup eventually, also buy (if you have the credits):
Mantle of the Force (to use into an off hand short lightsaber with crystal Jenruax and Solari)
Advanced Alacrity Implant
Baragwin Stealth Unit
Deck 2: Star Forge Robe from the replicator bin after crafting it using the terminal.