It depends on what type a garden you are planning ? I read ''garden bed'' does that mean you will be gardening in a raised bed?
If digging up soil then yes a shovel, but in a raised bed with added soil a hand cultivator and trowel will get you started.
and a hose is handy but if the garden is small enough a water can will work
one more thing would do you well is a pair of gloves , our hands can be the best tools
good gardening and keep us posted on your progress
