In general, limit the number of dummy THEREs in a document.

For ENGL393, practice your revising skills by revising out all dummy THEREs.

-See if a word or phrase after "There is" or "There are" can become the subject of the sentence.
      "There are many important details hidden in the fine print."  >>> "Many important details are hidden in the fine print."

-Dummy There can often be removed simply by deleting there is or there are and a nearby, related that.
      "There is one point that must be considered before turning to the results." >>> "One point must be considered before turning to the results."

-Consider how a sentence with dummy There can be combined with the sentence before or after it as a way to remove There.
      "There are three stages in the process.  The first is the most critical."  >>>  "Of the three stages in the process, the first is the most critical."

Additionally, see Nominalizations for more examples.