For the Foundation Level there are 3 exercises to follow and you do not need any exercise equipment at all.
For the Level 1 to 4 Ten Min Workouts the only thing which is necessary is a long resistance exercise band.
Other Useful Equipment That is Recommended but not Necessary?
Exercise Mat – but rug, thick towel or carpet will do
Small Loop Resistance Band – but tying the long exercise band in a loop can also work
Adjustable High Resistance Band (booty band) – again can use the long exercise band tied in a loop
Small Pilates Exercise Ball – a cushion, childs football or other ball can be used instead
All of these pieces of equipment range can be found in any sports shops or on Amazon or other marketplace website.