Gerund or Infinitive?

1 - The Infinitive (with to)
Use the infinitive:

• To express a purpose:

- I went to the city centre yesterday evening to buy my daughter a present.
- Alice went to France to visit her old friends.
- I went to the party to meet new people.
- I came to this school to learn English.

• After adjectives:

- She finds it hard to learn German.
- My phone number is easy to remember.
- Is there any part of your town where it's dangerous to go at night?

• After some verbs (decide, try, forget, help, hope, learn, need, offer, want, plan, pretend, promise, would like):

- He promised not to be late for work again.
- He learned to cook at school.
- Have you ever forgotten to turn off your mobile phone in a cinema?
- Try not to be late tomorrow. 
- She'd like to take part in the competition.

2 - The Gerund (with -ing)
Use the gerund:

• As the subject of a sentence:

- Eating outside with my friends makes me feel good.
- Flying makes me nervous.
- Singing is good for your health.

• After prepositions:

- She's good at speaking English.
- He left without saying goodbye.
- Are you interested in visiting Egypt?
- I'm thinking of buying a new car. 
- Thank you for being my best friend.

• After some verbs (enjoy, like, dislike, love, hate, mind, spend, finish, start, stop, continue, quit, go on)

- I hate getting up early.
- He doesn't mind doing the washing-up.
- Sorry! I'm afraid I can't go to the cinema with you. I have to go on working until 9pm
- Please stop talking.
- She quit smoking two years ago. 
- How long do you spend studying?

Gerund or Infinitive?  
When two verbs go together, the second verb is often in the infinitive or in the gerund (the -ing form). There are no fixed rules regarding which form the second verb takes, so when you learn a new verb it’s a good idea to learn the verb pattern. Unfortunately, there are some verbs that can be followed either by the infinitive or the gerund with no real difference in meaning: For example:

The verb "start" can have both patterns with no difference in meaning:
- It started to rain = It started raining. (They have the same meaning).

But in the case of verbs, such as “stop”, "remember", "forget" and "try" the meaning changes:

- I stopped to smoke after working for two hours. (You had a break and smoked a cigarette.)

- I stopped smoking. (You abandoned the habit)
- I'm trying to find a new job, but it's very hard. (make an attempt)
- Why don't you try doing yoga? (experiment with something)
- Remember to bring your dictionary tomorrow. (keep something in mind)
- Do you remember meeting him last year? (remember something after it happened)
- I can't forget to post this letter. (omit something unintentionally)
- I will never forget meeting the King. (forget something after it happened)

After "make" and "let" we have to use the infinitive without "to". 
- Singing makes me feel good.
- We like John very much because he makes us laugh a lot.
- I'm grounded! My parents don't let me go out today.

Have you had enough practice? If not, you can get more practice by clicking on the following links: (os recomiendo estos links y ese blog en general, es de los mejores que conozco para aprender inglés)
- Problemas con el Infinitivo en Inglés
- Problemas con el Gerundio en Inglés

ONLINE EXERCISES: The best way to learn verb patterns is through practice, practice, practice! Why don't you start, then, by doing these exercises?
- Infinitive with "to" (1)
- Infinitive with "to" (2)
- Gerund (1)
- Gerund (2)
- Gerund or Infinitive (1)
- Gerund or Infinitive (2)
- Gerund or Infinitive (3)