Your (original) description:
a kinase helps chemically deliver or metabolize stored energy within a cell
sounds a little more like what many ATPases do: they are using the energy from ATP to do some energetically unfavorable work, such as moving molecules or ions against their concentration gradients. However, kinases have a broad range of different functions.
In some anabolic pathways, yes, kinases are helping to deliver stored energy in the form of phosphate groups onto 'building blocks' of other molecules, and this stored energy can be used for future reactions.
However, when a kinase phosphorylates another molecule (often a protein) to regulate its function, I wouldn't really say that it is delivering energy, just that there is some energy cost to doing the business of flipping cellular light switches, and ATP is readily available as a source to do that. One big advantage of using kinases in these sorts of reactions is that, because a fairly large energy input is required, such reactions don't occur easily by mistake or just due to thermal energy.