Gerunds and infinitives

Use the gerund (verb+ing)
After prepositions and phrasal verbs. She's given up smoking.
As the subject of a sentences. Eating out is quite cheap here.
After some verbs (ex. hate, spend, don't mind). I don't mind getting up early.

Use infinitive (+ to)
After adjectives. My flat is easy to find.
To express a reason or purpose. He's saving money to buy a new car.
After some verbs. (ex. want, need, learn). She's never learn to drive.

Use the infinitive (without to)
After most model and auxiliary verbs. I can't drive. We must hurry.
After make and let. My parents don't let me go out.

Gerunds and infinitives form the negative with not. not to be, not being.
More verbs take the infinitive than the gerund.
These common verbs can take either the gerund or infinitive with no difference in meaning: begin, continue, prefer, start.

!!!!!!
These verbs can take a gerund or infinitive but the meaning is different:
Try to be on time = make an effort to be on time.
Try doing yoga = do it to see if you like it.
Remember to phone him = don't forget to do it.
I remember meeting him years ago = I have a memory of it.