Okay 1st of all I decided how I'll be shifting the soul weapons around:

Determination -> Perseverance

Where you find the Worn Dagger, True Knife, Heart Shaped Locket, and The Locket you will instead find the Torn Notebook, Cloudy Glasses, and for the genocide equipment it will be The Chainsaw and The Director's Heart

(Also the True Knife and Locket are now unobtainable)

Perseverance -> Patience

Where you would find the Torn Notebook and Cloudy Glasses you will instead find the Toy Knife and Faded Ribbon

Patience -> Integrity

Where you would find the Toy Knife and Faded Ribbon you will instead find the Ballet Shoes and Old Tutu

Integrity -> Kindness

Where you would find the Ballet Shoes and Old Tutu you will instead find the Burnt Pan and Stained Apron

Kindness -> Justice

Where you would find the Burnt Pan and Stained Apron you will instead find the Empty Gun and Cowboy Hat

Justice -> Bravery

Where you would find the Empty Gun and Cowboy Hat you will instead find the Tough Glove and Manly Bandana

Bravery -> Determination

Where you would find the Tough Glove and Manly Bandana you will instead find the Worn Dagger and Heart Shaped Locket

(Since Chara is still alive you'll get the Worn Dagger and Heart Shaped Locket from Chara and Asriel)

2nd of all here are the location names for Shifted Reality:

Ruins -> Old Ruins

Very similar to the Ruins from Undertale, but more Wintery with snow coming from the surface of the mountains and ice everywhere. Also instead of the Pink interior it is now a light brown interior.

Snowdin -> Violet Forest

It can’t be called Snowdin anymore because the snow has disappeared, instead think of the Violet Forest like how the Scarlet Forest looks like from Deltarune (yes this is a pokemon reference), but instead of red trees and foliage it will be purple duh, also some familiar fiends from the Scarlet Forest will also make an appearance.

Waterfall -> Caverns

Less watery more cavey, you’ll find lots of beautiful crystals and minerals plus a whole bunch of wooden bridges be careful though some of them might fall, also there are some Abandoned Mines located here you maybe will even be able to find some treasure there.

Hotland -> Scorched Plains

Pretty much the same but with more of a rugged terrain, look out for the mini active volcanoes that appear here or you might get BURNED.

The Core -> The Core

Literally the same thing pretty much, nothing really changes here.

New Home -> The Sanctuary

A beautiful place with overgrown foliage and lovely ponds, you’ll find huge statues of all the lost humans that gave their souls away so monsterkind can finally be free, and monster heroes of the past times that fought during the war of humans and monsters.

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That's all for now I hope you enjoy my ideas.

Hopefully I'll have some pictures for some of the locations eventually.