There is, unfortunately for learners, no foolproof explanation. Some verbs are followed by the to- infinitive only, some by the bare infinitive only, some by either, some by the -ing form only, some by the infinitive or the ing- form with no significant difference in meaning, some by the infinitive or the ing- form with significant difference in meaning, some followed by the ing- form preceded by the preposition to etc.
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JCDentoninfinitives and gerundsStart here. https://en.wiktionary.org/wiki/Appendix:English_catenative_verbs
JCDentonis it really big problemOnly when there is a difference in meaning between the two forms after a given verb. The verb "stop" is the only big problem in this respect. Other mistakes just sound like foreigner English, but they're usually understandable.
CalifJimThe verb "stop" is the only big problem in this respectI'd add TRY and REMEMBER.