たくさん + [verb]
たくさんの + [noun] たくさん + [noun] (casual, の omitted)
たくさん means "many," "a lot of," or "plenty." It can be used as an adverb to modify verbs or together with の before a noun to indicate a large quantity.
When used as an adverb, たくさん is placed before the verb to express doing something "a lot" or having "a lot" of something.
When modifying a noun directly, たくさん is followed by の to mean "many" or "a lot of."
The の is sometimes omitted in casual speech:
When たくさん is used as an adverb, the noun it relates to is typically marked with を or が as usual. The word たくさん itself does not take a particle.