Making comparisons with nouns (e.g. I have more books than he (does), as opposed to I'm taller than he (is)) is different to making comparisons with adjectives, verbs or adverbs.
Look at these examples:
Note that to compare nouns, you will use comparative words as follows:
more [thing/s] than
|plus de [chose/s] que|
|less/fewer [thing/s] than||moins de [chose/s] que|
|as much/many [thing/s] as||autant de [chose/s] que
Note that in all three forms, de is required before the noun.
Whereas in English, you will need to use a subject pronoun after than (... than I (do), you (do), he/she (does)...), in French you will once again use the stress pronoun after que (... que moi, toi, lui/elle, nous, vous, eux/elles). You will also never repeat the verb with (do/am/have) afterwards:
I have more chocolate eggs than you do.
See also other Comparative structures:
Plus... plus..., moins... moins... = the more...the more..., the less...the less... (comparisons with phrases)
Better and better, worse and worse = de mieux en mieux, de pire en pire (comparisons)
De plus en plus and de moins en moins = more and more and less and less (comparisons with adjectives, adverbs, verbs)
De plus en plus de and de moins en moins de = more and more and less and less (comparisons of nouns)
Making comparisons with adjectives: plus... que, aussi... que, moins... que
Making comparisons with adverbs: plus... que, aussi... que, moins... que
Making comparisons with verbs: plus que, autant que, moins que
And for Superlative forms, see:
Le, la, les plus and le, la, les moins = the most and the least (superlatives of adjectives)
Meilleur, mieux, pire / plus mauvais, plus mal = better, best, worse and worst (irregular comparatives and superlatives)
Le plus and le moins = the most and the least (superlative of adverbs)