I just finished a 3/4 acre pond last week but it was on a slope, no valley or bowl to work with, which made quite a bit more dirt to move.
Having done that kind of work for the last 25 yrs, a few things you will have to take into consideration when you do undertake the equipment rental and do it yourself plan. First of all the equipment that you have on your rental brochure is all undersized for the project, but it will work with plenty of time and effort, way more time and effort for an inexperienced operator, as in an experienced operator will probably be able to move double the amount of dirt in the same amount of time with the same equipment, a good portion of that will be the ability to know where to land the dirt where it will not need moved again.
Secondly a plan will need to be worked out for dewatering a bowl when you get several inches of rain during construction, which is one of the bigger reasons why working swiftly with bigger equipment is much easier then working for an extended time with smaller equipment, way more time for rain and water to become a problem, the longer the project lasts, not counting how much more wet materials doesn't hamper bigger equipment nearly as much as smaller equipment, after a 1/2 inch rain a dozer will drop the blade and remove the soft ground in front of him in a pass or two and be back to working full throttle, where as a 1/2 inch rain will incapacitate a skid loader for a good period of time before you get all the mud off and gotten rid of and back at it.
Not meaning to completely discourage you, it can be done, just make sure you calculate all the things that can make the job more difficult and therefore more expensive, if you had access to an old timer, equipment operator, to sit under a shade tree and give you pointers could be invaluable. Good Luck and keep us posted!

Cody Note: Experienced advice is very valuable. It is always best to heed it.