Jeanie:
Nothing beats good tools and Park Tools are good tools.
However, if you only plan to do simple maintanance, the tool kit may have you buying stuff you don't need. You might also find that it is missing stuff you need.
I say buy tools as you need them (Do projects when the LBS is open so you can go there to buy parts and tools when you need them).
Most bike maintanance starts with a good set of wrenches (usually metric), a full set of Allen wrenches, a pliers, and a collection of screw drivers.
There are other specialty tools from there and they are often different in type and size depending on your bicycle.