to be honest the only tool you really need is a good #2 phillips screwdriver in most cases however it doesnt hurt to have a smaller phillips as well as a few flats as well.
if you remove thermal paste from the cpu heatsink you may want 95% isopropyl alcohol and q-tips (cotton swabs). some people use a razer blade to spread new thermal paste on. if you intend on using the already provided paste then you dont need to worry about this.
it would be a good idea to have some small zip ties and cutters as well for cable management but this is completely optional.
you should be touching the pc case before you touch anything (you will do this quite a bit while assembling a pc) so you really dont need a grounding strap, however using a...