Ok first off Pokemaster get of your holy arse and update the Paldean Tauros movepools already!!!
The changes in the level up movesets of the different Tauros Breeds are at level 15, 35, and 55. At level 15, Combat Breed has Assurance, Blaze has Flame Charge, and Aqua has Aqua Jet. At level 35, they all get Raging Bull, but the type of the move changes to Fighting, Fire, and Water respectively. At Level 55, Combat has Double Edge, Blaze has Flare Blitz, and Aqua has Wave Crash.
For the differences in the TM learnsets, I'll be using Combat Breed Tauros's learnset as a reference basis for Blaze and Aqua Breed Tauros, since the learnsets are similar. Blaze Breed Tauros gains Fire Spin, Flame Charge, Will-o-Wisp, Flamethrower, Fire Blast, Overheat, Flare Blitz, and Temper Flare, but loses Surf and Throat Chop. Aqua Breed Tauros gains Water Pulse, Chilling Water, Liquidation, Hydro Pump, and Whirlpool, but loses Sunny Day and Throat Chop.
I also provided the level up and TM movepools for the Tauros forms below. As for breeding, that's already found on the site, but it isn't exciting, with all forms getting Curse and Endeavor through breeding.
Combat Breed Tauros
Level Up
Level 1 - Tackle
Level 1 - Tail Whip
Level 5 - Work Up
Level 10 - Double Kick
Level 15 - Assurance
Level 20 - Headbutt
Level 25 - Scary Face
Level 30 - Zen Headbutt
Level 35 - Raging Bull
Level 40 - Rest
Level 45 - Swagger
Level 50 - Thrash
Level 55 - Double Edge
Level 60 - Close Combat
TM
TM001 - Take Down
TM006 - Scary Face
TM007 - Protect
TM018 - Thief
TM020 - Trailblaze
TM025 - Facade
TM028 - Bulldoze
TM036 - Rock Tomb
TM047 - Endure
TM049 - Sunny Day
TM050 - Rain Dance
TM051 - Sandstorm
TM053 - Smart Strike
TM055 - Dig
TM059 - Zen Headbutt
TM064 - Bulk Up
TM066 - Body Slam
TM070 - Sleep Talk
TM084 - Stomping Tantrum
TM085 - Rest
TM086 - Rock Slide
TM089 - Body Press
TM099 - Iron Head
TM103 - Substitute
TM106 - Drill Run
TM123 - Surf
TM134 - Reversal
TM147 - Wild Charge
TM149 - Earthquake
TM150 - Stone Edge
TM152 - Giga Impact
TM156 - Outrage
TM163 - Hyper Beam
TM167 - Close Combat
TM171 - Tera Blast
TM186 - High Horsepower
TM199 - Lash Out
TM204 - Double-Edge
TM205 - Endeavor
TM221 - Throat Chop
TM224 - Curse
Blaze Breed Tauros
Level Up
Level 1 - Tackle
Level 1 - Tail Whip
Level 5 - Work Up
Level 10 - Double Kick
Level 15 - Flame Charge
Level 20 - Headbutt
Level 25 - Scary Face
Level 30 - Zen Headbutt
Level 35 - Raging Bull
Level 40 - Rest
Level 45 - Swagger
Level 50 - Thrash
Level 55 - Flare Blitz
Level 60 - Close Combat
TM
TM001 - Take Down
TM006 - Scary Face
TM007 - Protect
TM018 - Thief
TM020 - Trailblaze
TM024 - Fire Spin
TM025 - Facade
TM028 - Bulldoze
TM036 - Rock Tomb
TM038 - Flame Charge
TM047 - Endure
TM049 - Sunny Day
TM050 - Rain Dance
TM051 - Sandstorm
TM053 - Smart Strike
TM055 - Dig
TM059 - Zen Headbutt
TM064 - Bulk Up
TM066 - Body Slam
TM070 - Sleep Talk
TM084 - Stomping Tantrum
TM085 - Rest
TM086 - Rock Slide
TM089 - Body Press
TM099 - Iron Head
TM103 - Substitute
TM106 - Drill Run
TM107 - Will-o-Wisp
TM125 - Flamethrower
TM134 - Reversal
TM141 - Fire Blast
TM147 - Wild Charge
TM149 - Earthquake
TM150 - Stone Edge
TM152 - Giga Impact
TM156 - Outrage
TM157 - Overheat
TM163 - Hyper Beam
TM165 - Flare Blitz
TM167 - Close Combat
TM171 - Tera Blast
TM186 - High Horsepower
TM199 - Lash Out
TM204 - Double-Edge
TM205 - Endeavor
TM207 - Temper Flare
TM224 - Curse
Aqua Breed Tauros
Level 1 - Tackle
Level 1 - Tail Whip
Level 5 - Work Up
Level 10 - Double Kick
Level 15 - Aqua Jet
Level 20 - Headbutt
Level 25 - Scary Face
Level 30 - Zen Headbutt
Level 35 - Raging Bull
Level 40 - Rest
Level 45 - Swagger
Level 50 - Thrash
Level 55 - Wave Crash
Level 60 - Close Combat
TM
TM001 - Take Down
TM006 - Scary Face
TM007 - Protect
TM011 - Water Pulse
TM018 - Thief
TM020 - Trailblaze
TM022 - Chilling Water
TM025 - Facade
TM028 - Bulldoze
TM036 - Rock Tomb
TM047 - Endure
TM050 - Rain Dance
TM051 - Sandstorm
TM053 - Smart Strike
TM055 - Dig
TM059 - Zen Headbutt
TM064 - Bulk Up
TM066 - Body Slam
TM070 - Sleep Talk
TM084 - Stomping Tantrum
TM085 - Rest
TM086 - Rock Slide
TM089 - Body Press
TM099 - Iron Head
TM103 - Substitute
TM106 - Drill Run
TM110 - Liquidation
TM123 - Surf
TM134 - Reversal
TM142 - Hydro Pump
TM147 - Wild Charge
TM149 - Earthquake
TM150 - Stone Edge
TM152 - Giga Impact
TM156 - Outrage
TM163 - Hyper Beam
TM167 - Close Combat
TM171 - Tera Blast
TM186 - High Horsepower
TM199 - Lash Out
TM204 - Double-Edge
TM205 - Endeavor
TM208 - Whirlpool
TM224 - Curse
