Looks like an interesting story! Please contimue.

I'm guessing that the difficulty is with exposition--when you have the characters explain what's going on to each oother and the reader.

One possible way is to insert your own narration for a paragraph or two, with the understanding that this a summary of what the character is saying. It may be less awkward.

Or, there may be an interesting way in which one character reacts as the other tells their story; this can help break up long chunks of monologue.