1) Enable case insensitivity, particularly for things like "transistor" which are rarely capitalized or "integrated circuit" but even for "should be capitalized things" like "Moore's Law" vs "Moore's law".
2) (Especially on things spanning less than a century) check the impact of smoothing. It can "smooth out" the introduction of term to appear to take off years early or hide the true peaks/variabilities because they only lasted a couple of years instead of decades like the default smoothing might be better suited for.
3) (Not as applicable here) make sure the terms are popular enough you're not just comparing noise.
4) Adjust your range so the data is properly scaled. If your term was coined around the 1970s (and comparatively uncommon prior to that)then the 1870s shouldn't be midway through your graph.
5) If various case insensitive spellings create a messy set of graph lines adding in a less popular term like "exaflops" will cause them to be merged and you can extract that line.
6) Be careful comparing things that can be pluralized or otherwise modified with things that aren't. E.g. "Moore's Law" vs "Integrated Circuit[s]?"
Combining some of these, notes like "Here is a further ngram of the ‘End of Moore’s Law’ which has clearly been a live topic of discussion since the late 1990s." actually look to be a bit off when you switch the graph to clue in on the last 30 years, set smoothing to 0, and enable case sensitivity to catch "[Ee]nd of [Mm]oore's [Ll]aw". Case insensitivity changes the shape of the humps and 2019 ends up significantly higher than the peak in the early 2000s. Shrinking the x-axis and not smoothing out the peak to be wider than it is shows there is very little in the way of the end of Moore's Law in the late 90's, only really starting to take off in 99 and not peaking until 2003.
A similar story repeats for the opening graph, the gap between variants of "Moore's Law" and variants of "Integrated Circuit" is more than double the frequency, adding in that variants of "Integrate Circuits" are even more than either and counted separately.
Overall the points turn out right enough (a few years difference in when the phrase found its first wave doesn't impact the story, nor does how frequent the use of Moore's law is vs ICs as much as the general rise of one and decline of the other) but I always want to highlight how the friendly interface of Google's Ngram viewer can easily lead you to the wrong conclusion on the data.
I'd also like to point out the above tips are neither exhaustive or universally applicable to any type of search. Sometimes you want more smoothing, sometimes you do want an exact version of a phrase, sometimes you do want to show the term was used long before the modern meaning, and sometimes there are additional things that can bite you. E.g. one I was worried about here was "Moores Law" typos excluding the ' but it turned out to not be common at all. You really don't know until you check each possibility though.