I found no tutorial on how to do this process utilizing ImageMagick (Im so bad at this
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Seriously? It is all described on the page I linked to.
@Kasumi: Different frame counts are no problem if the goal is to put several gifs into a new in-sequence gif (still a single animation in the end) but the goal (I presumed) was to put several gifs on the same canvas (also technically a single animation in the end but the original gifs are all visible simultaneously, next to each other, and not just be sequentially visible one at a time).
That being said, different frame counts still should not be a big problem. It should be possible to still create a sheet of gifs animating side-by-side, looping gifs which fit as n*fc (where n is an integral number and fc is a common denominator of the framecounts of the individual gifs) and pausing gifs for a while which don't align with the framecounts of the others in any way.
It will only be problematic if the gifs use different frame-delays... synchronizing those would be more tricky and available tools probably can't do it so it would require assembling the gifs manually in any Pixel Art tool.
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Well the most straightforward "solution" (will not create a new gif but is easy enough to have all gifs display at once and all individuallay looping and timing correctly) is to put the gifs into a simple .html document and opening that locally.