Audacity is basically a destructive editor (despite many claims to the contrary). That means that when you cut out part of a track, the stuff after it slides to the left. This is the opposite of what you want when you are working with multiple tracks.
For multitrack editing, you want a non-destructive (clip-based) editor. This means that the original files are never modified and the project consists of a series of references to various spots within the file, e.g. "At 6 minutes, 40 seconds, 17350 samples into the project, start playing from the file track1.wav beginning at 9 minutes, 38 seconds, 2301 samples."
More importantly, with a nondestructive editor, deleting a portion of a track just causes the clip to be broken into two pieces. The portion to the left of the part you cut out is the first piece, and whatever remains after that part is the second piece. Between those is simply a gap.... You can slide these pieces around if desired, change the length of a clip to "reveal" more or less of the original file, replace pieces with new clips for only a portion of one track, trim up the portion you inserted for really precise insert editing (without having to precisely set the "In" and "Out" points ahead of time), insert transitions between one clip and another to avoid a glitch at an edit (even in the middle of a note), etc.
With a real multitrack editor, you can also nondestructively add (multiple) effects on a per-track basis. With most of them, you can also route all of your drum tracks to a bus and add mix automation so that you can adjust the relative volume of the drums if the drummer is a little too loud in the quiet spots. You can add effects on that bus so that all your drums get the same reverb applied while leaving the vocal track a little drier. And so on.
It's a completely different editing paradigm. If you try to use a destructive editor for multitrack work, you'll go nuts. It's a lot harder to replace bits, fix that one cymbal hit that was a hair too early, etc. because it really wasn't designed for that sort of thing.