There're

I avoid it, too.
But here is an author who has used it in a description of the misuse of "there's"
http://public.wsu.edu/~brians/errors/there's.html

phxsunstoon"there're" just looks strange to me, and I would not know how you even pronounce it.

I don't think I can pronounce it either, which is why I don't use it. I say there are.

In casual speech, there's substitutes for there are, but I don't advise you use that substitution unless you have it clear in your mind that it's no

This is slightly off-topic, but I think the source AS quoted is a little harsh when he says, "People often forget that “there’s” is a contraction of “there is” and mistakenly say “there’s three burrs caught in your hair” when they mean “there’re” (“there are”). In spoken BrE, the contracted there's (though not the uncontracted there is) before plural nouns is acceptable in informal c