InvMove has an in-game config menu which can be accessed from the Forge mod list.

(for 1.14+ also highly recommend GameMenuModOption which adds the mod list button to the pause screen)
(note the config for 1.12 looks different but has generally the same layout)
In the config menu, you can find several options:

General:

• Enable: Enable the entire mod
• Debug Display: Enables a debug overlay that can help debug compatibility problems.

UI Movement:

• Move In Inventories: Enable movement in inventories
• Allow Sneaking: Allow sneaking in inventories (disabled by default because it's distracting when shift-clicking)
• Allow Jumping: Allow jumping in inventories
• Text Field Disables Movement: Disable movement when a text field is focused (like search bars or in an anvil)
• (Expandable categories that let you enable/disable movement for certain inventories)

UI Background:

• Hide Inventory Backgrounds: Hides the background tint while in inventories.
• (Expandable categories that let you enable/disable the background for certain inventories)

(Note: Corail Woodcutter is no longer supported)

As of version 0.4.0+, InvMove has actual mod support.

InvMove has specific support for certain mods, but any GUIs from unrecognized mods are added into the config dynamically and can be manually enabled.
Unrecognized GUIs will only appear in the config once they have been opened/seen in-game.

Explicitly supported mods have their own sections in the config, and come with tested default settings.

If you find problems with any of the explicitly supported mods, please start a ticket in the issue tracker.
If there's a mod you want to be added, also please start a ticket in the issue tracker, especially if it doesn't work enabling it from the "unrecognized" section of the config.

(The initial list of supported mods was arbitrarily chosen from a mod pack I'm playing.) (More are being added mostly by going through curseforge sorted by popularity)

InvMove explicitly supports the following mods (as of version 0.4.6):

• Botania (1.12-1.16.1)
• CC: Tweaked
• Charm (1.12-1.15)
• Cooking for Blockheads
• Create (1.14-1.15)
• Curios API (1.14+)
• EmbellishCraft (1.14-1.16.1)
• Ender Storage 1.8.+ (1.12-1.15)
• Engineer's Decor
• FreeCamera (1.12)
• Immersive Engineering (1.12-1.16.1)
• Industrial Foregoing (1.12-1.16.1)
• Iron Chests
• ItemPhysic Full
• Just Enough Items (JEI)
• Locks (1.14+)
• Mekanism (1.12-1.16.1)
• Mekanism Generators (1.14-1.16.1)
• MrCrayfish's Furniture Mod (1.14-1.16.1)
• Music Maker Mod (1.14-1.15)
• Optifine
• Patchouli
• Quark (1.12-1.16.1)
• Refined Storage
• Waystones (1.12-1.16.1)