There are not many rules to say which verb goes with infinitive or -ING form.
In general, we have these three big groups:
- Verbs indicating likes and dislikes go with -ING form: like, love, hate, don't mind, fancy, feel like, can't stand...
- After prepositions: -ING form
- Verbs inidicating desire and/or command go with infinitive: want, hope, decide, expect, need, ask, choose, etc.
There is a general tendency to distinguish between -ing form and infinitive:
- Infinitives are usually referred to future actions
- -ing forms are usually connected to past or present actions
Let's have these two sentences:
I like playing tennis (first I play then I like it; playing tennis is reffered to a past action which comes up to now)
I'd like to play tennis (first I like, I want to do something and then I do it; to play is referred to a future action)
This link gives some clues about when you use gerund or infinitive; click here infinitive or -ing
Here you are a list of adjectives followed by prepositions so you must use -ING like in this example:
She is good at playing chess.
To finish with, here you have some videos with songs using gerund or infinitive.