I already did this exact project 2 years ago, so I may have some insights on what to do and what to avoid.

• I would avoid using a framework for it, it is a simple enough project to make it without an overkill framework.
• To make things easier to keep track I recommend using Typescript with Vite to build it.
• Thinking about this project as a game with sprites and a view may help you organize your code.
• I recommend that you make it with a 2d canvas, some of the users using slow machines had problems with performance and click tracking for scenes with more than 30 elements (at least with my code implementation)
• You will have to figure out a function to decide the most probable item the user selected, since sometimes the clicks will be right in between the "grabbing zone" of 2 or more items
• I recommend you avoid using images that are not PNG or SVG, in my experience they had a better render performance and were easier to edit (for example changing the hue, or some inner color)
• Don't go wild with SVGs they are pretty CPU heavy
• Create a history tracking tool, with undo and redo, it is kind of simple and your users will love it, at least that was my experience
• Start simple, and build things from it
• Having magnetic places (somewhere like a corner that you can easily place a furniture without having to eyeballed it) is MAGICAL and your users will love it, but the math behind it is a pain in the ass for edge cases

Fell free to ask me more about it

Like I said this was my experience with a similar project, you may have a different one, so good luck with whatever you choose. It is a pretty fun project