Isn't trope like literally a term that means "something used in a piece of media"? So by definition you are using them and it doesn't matter what your opinion of it is. From TVTropes own website:
A trope is a storytelling device or convention, a shortcut for describing situations the storyteller can reasonably assume the audience will recognize. Tropes are the means by which a story is told by anyone who has a story to tell. We collect them, for the fun involved.
Tropes are not the same thing as cliches. They may be brand new but seem trite and hackneyed; they may be thousands of years old but seem fresh and new. They are not bad, they are not good; tropes are tools that the creator of a work of art uses to express their ideas to the audience. It's pretty much impossible to create a story without tropes.
TVTropes is just collecting the common ones and is constantly changing and rearranging. For instance @joannekwan your "battle angel" would just fall under general tropes like Super Soldier and Action Girl unless there's something specific separating them from that commonly and if there is, suggest it as a new trope and people will discuss whether it is different with you. So yes, you're work and almost everyone's work is definitely full of tropes. Got a beginning middle and end? Got a hero and villain? You've got tropes. TVTropes even tells you to start with those when making a page for a new series. Unless you're making something wildly different from everything that's ever come before, you've got a lot of tropes.
That said, you tend to find tropes to fit your work a lot easier when you're not looking and just wandering through. Whenever I think, I'll start looking for tropes to fit and maybe make a page, I start over thinking and can never quite find the right ones. When I'm just browsing, I find them everywhere. Problem is you're too close to your own work, which is why the best pages are fan curated, not done by the creator. But just off the top of my head, The 1st Rule hits a half ton of giant robot tropes and military tropes, I'm sure. Start vague, look at your genre or media conventions rather than characters or plot.