All of these strategies are fallacious of course, but perhaps the commonest devise is known as the Straw Man Fallacy. The straw man is a metaphor for something which can be easily and safely attacked and which looks vaguely like the thing they would like to be attacking but know they can't. Usually, the straw man will be constructed in such a ludicrously childish fashion that it is easily dismantled by anyone with very low intellectual ability, and this of course is where apologists gain by using this device because that is usually a characteristic of the audience they are trying to fool with the straw man fallacy in the first place.
For example, you will see the Theory of Evolution misrepresented as a theory which says a monkey suddenly gave birth to a human or a living animal suddenly changed into another species, or that an entire species changed overnight into a different one so you would not expect to see any of the earlier ones around now. You will also see more subtle misrepresentations such implying that biologists recognise a distinction between evolution which results in a new taxon and evolution which results in mere change in frequency or a variable characteristic within a species. The most popular straw man in this respect is the pretence that the Theory of Evolution predicts and requires a complete set of fossils recording every change in every species throughout its evolutionary history and that the Theory of Evolution depends entirely on this requirement.
A common device used is to conflate two or more scientific theories into one, or more often, two or more straw men parodies of scientific theories such as the big bang, abiogenesis and evolution into one and throw stones at that parody instead of the real science. So you will see arguments attacking the idea that life arose in a big bang or that rocks evolved intelligence.
And of course, where this tactic works most effectively is when it is used on those with low reasoning ability and/or low scientific education who lack the ability to recognise the straw man parody and so take it on trust that it is an accurate and honest representation of science. Combined with their naive ignorance, the attacks from creationist charlatans provide them with the perfect excuse to pretend to know better than those who have spent time learning the subject and acquiring the necessary understanding, and all by learning a few simple parodies and some infantile questions based on them. This is also helped in those cultures where it tends to be assumed that those defending religions are honest and can be relied upon to tell the truth.
So we now see unfortunate victims of this deception swarming onto the Internet and infesting the social network media proudly showing off the 'killer arguments' they have picked up from people who've used this technique on them only to find they're making fools of themselves and displaying both their credulous gullibility and ignorance and ending up discrediting the very thing they came rushing excitedly on line to promote.
The other major group of people on whom this technique works, and at whom it it often aimed, are fellow religionists who have invested so much of themselves in their religion that the cognitive dissonance which results in learning science is too difficult to cope with, so avoidance strategies are readily adopted. Very often too these people will be earning their living from religion so will have made more than just a psychological investment.
Look beyond the straw man to the motives of those who assiduously create them and what do we see? We see people who know they need to create straw men to attack in the first place. What we don't see are people who have seriously looked at the science itself and made an effort to understand it, and who may be genuinely puzzled by it or genuinely mistaken about it. We see people who, if they have looked at all, have only looked for things to parody and misrepresent and have obviously had little regard for the way the body of science grows and develops, so that, for example, a book or paper, or even a popular magazine article from many years ago will be presented as current theory. And of course there will be the deliberate confusion of even the meanings of words where there is more than one current definition, such as the different popular and scientific meanings of the word 'theory' and 'law'.
Perhaps more than any other fallacy, the Straw Man Fallacy exemplified both the dishonesty of creationist and religious apologists and the naive ignorance and intellectual indolence of their credulous victims.