Using "partner" commanders is a possible way to go. The reason is that it's nice to have multiple commander you can cast in case of high commander tax from previous removal. The thing with equipment decks is always making sure you have creatures to equip after say mass removal.
There are a myriad of options with partners, too numerious to mention all the match ups, but I 'll just suggest some to give you ideas.
Thrasios, Triton Hero + Tymna the Weaver, will literally put you into all the colors you mentioned, plus gives you two very cheap to cast commanders, meaning targets for equipping early on. The thing with cheap commander is that it's very unappealing for opponents to remove them, as you can just cast them out again fairly easily.
Silas Renn, Seeker Adept + Sidar Kondo of Jamuraa, Silas will give you some ability to get back equipment that might have been removed or just put into graveyard for whatever reason, and Sidar can give you evasion for this, although often equipment will add stats to the creatures so will void this bonus later on. Again this puts you into all the colors you want.
Protection is often the best assets for an equipment deck, and Geist of Saint Traft is cheap in Azorius and once you get bonus equipment on him, his ability to attack into opponents/creatures will be fine.
Daxos of Meletis has some in built evasion and can give you card advantage all in one.
There are a myriad of options with partners, too numerious to mention all the match ups, but I 'll just suggest some to give you ideas.
Thrasios, Triton Hero + Tymna the Weaver, will literally put you into all the colors you mentioned, plus gives you two very cheap to cast commanders, meaning targets for equipping early on. The thing with cheap commander is that it's very unappealing for opponents to remove them, as you can just cast them out again fairly easily.
Silas Renn, Seeker Adept + Sidar Kondo of Jamuraa, Silas will give you some ability to get back equipment that might have been removed or just put into graveyard for whatever reason, and Sidar can give you evasion for this, although often equipment will add stats to the creatures so will void this bonus later on. Again this puts you into all the colors you want.
Protection is often the best assets for an equipment deck, and Geist of Saint Traft is cheap in Azorius and once you get bonus equipment on him, his ability to attack into opponents/creatures will be fine.
Daxos of Meletis has some in built evasion and can give you card advantage all in one.
Niv-Mizzet Reborn
Feather, the Redeemed
Estrid, the Masked
Teshar
Tymna/Ravos
Najeela, Blade-Blossom
Firesong & Sunspeaker
Zur the Enchanter
Lazav, the Multifarious
Ishai+Reyhan
Click images for decks->
-Prime Speaker Vannifar
---------------------Will & Rowan Kenrith