FitzTheRuke
Legend
Your solution is pretty much how I do it in my home games. Were it up to me, both the sleight-of-hand skill and the performance skill wouldn't exist as skills, but be part of the subset of specialty skills that usually use tools (though obviously not always) with names that I've used on my characters such as Thievery (this was how they did it in 4e, and it covered the usual old pickpocket, pick lock, disable traps). Gaming sets, Musical Instruments, and Artisan's tools become Gambling, Busking (or whatever), and Carpentry, Scribing, Smithing, (etc). You roll them when you roll them, and yeah, generally you have to have your tools.This is not advice, more just a discussion of the problem in the 2024 rules, as I see it...
I'm really glad that 2024 tried to give a system for mundane equipment, which I felt that 2014 was seriously lacking, but I don't think that they did a great job of it.
Still, I generally try to keep my houserules to a minimum (sometimes unsuccessfully, I admit) when it comes to PBP.