Only thing you need that doesn't come under "basic hand tools" is a set of spring compressors.
Though if the struts are still in the car you don't even need those, sit the car on jackstands, (loosen the bottom strut bolts at this point) jack under the hub until suspension is fully compressed then undo & remove the top nut, slowly lower the jack, the strut will slide out of the top hat and you can then remove the lower bolts and remove it from the car - swap the spring over and refit.
To do it with the shock on the bench (or floor), fit the spring compressors and tighten until the spring is loose on the strut, then crack the topnut loose and remove, remove top hat and very carefully loosen the spring compressors.
Fit new spring, compress it, fit top hat, tighten topnut, etc.