Thanks for trying guys, but it seems I'm to [censored] to get my message across.
In order for me to do my first task for Caesar and then get my gear back, I need to confront Mr. House (which I have not done before). This means I have to pick some sort of side, and I do not want that. I also want to keep Platinum Chip, which I think is needed for the independent path I'm taking.
And no, I can not lie to Caesar, I am on the quest and he won't even open up a dialogue with me.
And no, I can't leave whenever I want, they want me to do my first task for Caesar first.
What I'm getting from this is you're at the point where you have to either insert the platinum chip into the console and activate the robots, or blow them all up. There are three options for you here.
1) Blow up the generators, destroying all the robots. This makes House angry with you, and you'll probably have to kill him.
2) Insert the Platinum chip and activate the robots, gaining favor with Mr. House. Caesar will still think you obeyed him, and he will never find out later so you don't have to worry about it really.
3) Insert the Platinum chip, like above, but then you can kill Mr. House later and take the robot army for yourself I believe.
I'm not sure about the last one as I've never done it before, but Benny implies it's possible to do it through the Yes Man quest.