To get the on-screen AssistiveTouch button to act like a true Home button:
Settings/General/Accessibility/AssitiveTouch/Customize Top Level Menu
1. Delete (using the "-" button at the bottom-right of the screen) all icons except for one icon (you cannot delete all icons, one will always remain)
2. Change the one icon remaining to "Home" by tapping on the remaining icon, then select "Home" from the list of available assignments
3. Tap Done
Now you can directly use the floating AssistiveTouch button like the hardware Home button, circled in red below:
For quick access my main practice apps are moved to the Dock:
Touch and hold any app on the screen until they all jiggle
Now drag any app to another spot, including the Dock. You can drag app icons out of the Dock as well.
Of the 5 apps in the iPad's dock, four are in use on a daily basis:
AnytunePro+ is wonderful practice tool - if you're learning tunes from recordings (and you outta be) AnyTune has everything you need: Looping, tempo change and pitch change. All these functions work great. Tempo and pitch changes sound reasonably good, with minimal articfacts, until the changes get fairly extreme.
While the free version is functional - to use the software efficiently go Pro to have the critical "Transcribe Mode"
ClearTune - virtual tuner for iOS devices. Easy to set for Bb and Eb horns. Emits tone and has a virtual needle
iRealPro - backing track creator. Works on iOS, Mac and Android
Tempo, a flexible, intuitive metronome app. Tempo makes it easy to change from counting in 4 to counting in 2 and counting in 1.