A few tips:
First, each letter in a cryptogram puzzle represents one other letter of the English alphabet. Thus, once I determine that one letter in one place probably equals another, I may make the same substitution throughout the puzzle.
Second, cryptoquip puzzles are often solved by first trying probable substitutions for the letters within shorter words or words that contain an apostrophe. Often, by comparing instances of such substitutions, one can become fairly confident about a few of them.
Third, cryptoquip solutions generally involve, by convention, a play on words. This may result in solutions that include puns, homophones, or portmanteaus.
Finally, from my own experience solving such puzzles as they appear in the newspaper, I have found that often the most intuitive replacement is the correct one. By going with my gut instinct and then applying a process of trial-and-error, I am usually able to solve them without too much difficulty.
Thanks for playing,
Tony