Borrowed chords, like 1st, 2nd and 3rd degree mixture, right? JohnStacy's points are correct - if you substitute one chord for another that functions similarly you'll rarely go wrong. I'll expand on this topic a bit, though, since there are other interesting ways to move into mixture and borrowed chords (and even beyond that, sometimes).
Being a counterpoint junkie, I'll start there: if the counterpoint works, the chord progression works. Thus, if you transition into unique chords using solid voice leading the chord won't feel out of place. This is why there's a notable amount of Rennaisance music (Palestrina, Gesualdo) that has some pretty strange chordal patterns, and yet sound pretty natural in context - they never worked one music harmonically, only contrapuntally. If all else fails, good voice leading will smooth everything out.
There's another related point of view (Neo-Reimannian) that dictates that the fewer notes that are changed, the less jarring the transition will be. Thus, if you only change one note from one chord to the next, no matter how much mixture is involved it will not sound out of place. Change two notes and it's a middle ground between jarring and not jarring. It's a logical yet interesting manner to get some cool mixture involved - lots of Romantic composers used this method of generating some pretty unique mixture.
Those are a bit heavy on the theory, so one final rule of thumb: just use the chord in question, and if you don't like it, change it to something you DO like. You'd be surprised just how poignant an effect some of this can have if you just experiment with them; the 'hard and fast' rules on how to use them are a bit dated, anyway. It's nice to know that there are rules on the use of mixture, but really the only 'rule' you need to know is that there isn't really a restriction on their use.
Hope that helps!