Usos de verbo + Infinitivo con TO/ gerundio -ING

Listado de verbos para consultar dudas: aquí

Se utiliza el INFINITIVO CON TO:

Después de ADJETIVOS: It's important not to be late

Después de QUESTIONS WORDS: I don't know where to go and what to do

Para explicar la FINALIDAD con que se hace algo o se va a algún sitio:
I came to this school to learn English

Después de determinados verbos que se construyen con esa preposición:
want to: I want to catch the six o'clock train
need to: He needs to find a job
would like to: I'd would like to learn English 
offer to: I offered to wash up
try to: Try  not to do it again
decide to: She's decided to go to France for her holiday
forget to: She forgot to turn her mobile phone off
hope to: I hope to see soon
learn to: He learned not to lie to his boss again
plan to: They're planning to rent a flat
pretend to: He pretended to be ill
promise to: I promise not to came late
remember to: Remember to bring your dictionaries
star to: I thing it'll start to rain

Regla nemotécnica para recordarlos:  todos entrarían + ó - en la frase: 
I need to, I want to, I pretend to, I plan to, I decide to, I try to, I would like to, I hope to, 
I expect to, I manage to, I promise to 
buy a car because I DESERVE to,
 but
 I remember  to, I forgot to, 
 you
 offer to, promise to, buy 

. + start que puede ir con To+Inf. ó con -ing 
OJO:  I remember going to Venice as a child,
          I always forget seeing the canals
         I try calling Miriam on her mobile
         The car need cleaning (= pasiva)

Se utiliza el verbo en gerundio (-ING):

Cuando es el Sujeto o el Complemento de una oración:
- Eating outside in the winter makes me feel good
- Hapiness is eating outside in the winter

Después de una preposición: He left without saying goodbay

Después de determinados verbos:

Hate, like, love, don't mind, spend, feel like (apetecer), enjoy
start (tb. seguido de TO + inf.),  finish, go on (continuar),
stop (*con diferente significado: he stopped to smoke: paró para fumar)
It hasn't stopped raining yet (Todavía no ha parado de llover)

Regla nemotécnica: I like, love, hate don't mind, feel like, enjoy reading a good book and then, when I finish, I go on reading and I don't stop. +start

Some exercices

Para estudiar los casos en que verbos como try, stop, remember, forget pueden usar -ing o to + infinitivo con cambio de significado podemos ver la teoría aquí:
http://www.ejerciciodeingles.com/uso-infinitivo-gerundio-ingles-puntos-avanzados/
Y ejercicios aquí:
http://www.ejerciciodeingles.com/ejercicios-verbos-doble-determinacion-infinitivo-gerundio-quiz/