When I was learning back in the day, I got a handout from a workshop with a gazillion chord forms on it. The key (ha, see what I did there) was to learn 2-3 chord forms and where the root of each chord was. Then all you needed to do when you saw a chord on the chart was to find the root note and play that chord form. It was much like @mrbeaumont's video approach.
For example, you need a Gmaj7. Find the root G on the 6th string 3rd fret, and play the maj7 chord form with the 6th string root. Or find the root G on the 5th string 10th fret, and play the maj7 chord form with the 5th string root.
It works with chord forms that omit the root as well, as long as you remember where the "implied" root of the chord would be in relation to the chord form.
And like @mc5c says, you can often simplify. When you're starting out, e.g., any dominant chord can be a 7th, until you learn a few more forms to round out a 9th or 13th.
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