Are my pickled peppers safe to eat?

A few years ago, I got a wild hair and pickled some sweet and hot peppers out of my garden.

It's been a while, but I remember buying the correct implements and ingredients and following a procedure I got from (I think) a Ball pickling instruction book.

The pickled peppers have been in the cabinet this whole time, mostly forgotten.

I'm going to move this week, and we found the peppers when cleaning out our kitchen cabinets. I was going to throw them out, then I got curious. I looked at the peppers, and through the glass, all appears to be fine. There's no mold that I can see. No foaming. The brine (?) is clear. The peppers are still pretty brightly colored.

I opened one jar (glass Ball-brand mason jar with 2-piece lid), and there was still suction keeping the lid down. The peppers smell good and pickled, just as I would expect a store-bought jar to smell.

Now, I'm kinda terrified of botulism. That's one reason the pickled peppers stayed in the cabinet all this time. I know I had good instructions at the time, and I followed them, but the "what if" idea just has me a bit scared.

On the other hand, it would be a shame to miss out on some good pickled peppers if there's nothing wrong with them.

So, given that a good deal of time has elapsed, are there any methods to tell whether botulism is present in them? Anything else that I should worry about?