For a device that can provide looping, overdrive, distortion, reverb, boost or volume, and preset switching, you might consider a multi-effects pedal. One popular option is the Line 6 Helix series, which offers a wide range of effects, amp models, and the ability to save presets for easy recall. The Helix allows you to create complex signal chains, including looping, and switch between presets seamlessly.
If you prefer to build a rig using individual pedals, you could start with a loop pedal like the TC Electronic Ditto or Boss RC-1 for looping. For overdrive/distortion, pedals like the Fulltone OCD or the Boss DS-1 are popular choices. For reverb, the TC Electronic Hall of Fame or the Electro-Harmonix Holy Grail are great options. To control all these pedals and switch between presets, you might consider adding a MIDI
controller like the Disaster Area DMC-3XL or the Morningstar MC6. This setup would allow you to create and switch between presets easily, giving you the flexibility you need for your performances.