Dangling Modifiers are words or phrases which “dangle” because they have no word in the sentence to describe:
While taking a shower, the doorbell rang.
--The doorbell was taking a shower?
Revise dangling modifiers by adding a headword—a noun or pronoun that is described:
While I was taking a shower, the doorbell rang. OR
While taking a shower, I heard the doorbell ring.

A Misplaced Modifier is placed too close to some other word that it does not intend to modify:
I only speak one language.
--All you ever do is speak one language?
Revise misplaced modifiers by placing the modifier next to its headword:
I speak only one language.

Split Infinitives are misplaced modifiers which are placed between the preposition to and the verb in an infinitive--a grammatical unit consisting of the word to plus a verb (to eat, to sleep, etc.):
Dentists encourage children to regularly brush their teeth.
--The modifier regularly is splitting the infinitive to brush.
Revise split infinitives by moving the modifier to another part of the sentence:
Dentists encourage children to brush their teeth regularly.

Squinting Modifiers are misplaced modifiers that seem to modify two words:
Patty who was walking quickly reached the disco.
--Is Patty walking quickly, or is she quickly reaching the disco?
Revise squinting modifiers by changing the word order so there is no ambiguity:
Patty, who was quickly walking, reached the disco.
OR Patty who was walking...