After like you can use the -ing word, or you can use to and the plain verb. I like swimming. and I like to swim. are both good English.
like + -ing
I like swimming at Farrisen Gym.
I like to swim before work.
Mateo likes reading in the park.
Not "I like swim." — say "I like swimming.". The plain verb cannot stand straight after like. Use the -ing word, or put to in front of the verb.
Try it: Yasmin: What do you do on a free morning? Lars: I like ___ on the trail. Complete what Lars says. (running / run / to running) Answer: running — The -ing word goes straight after like, so it is running. The plain verb run cannot stand there on its own, and after to the verb keeps its plain form, so to running does not work here.
enjoy + -ing
A thing comes straight after enjoy, as in I enjoy my class. When a VERB comes after enjoy, it takes the -ing word: say I enjoy swimming, never I enjoy to swim.
Camila enjoys running on the trail.
We enjoy playing games after dinner.
Lars enjoys reading in the evening.
Not "I enjoy to read in the evening." — say "I enjoy reading in the evening.". A verb after enjoy takes -ing. Do not put to and a plain verb there.
Try it: Lars: Is the new book good? Sofia: Very good. I enjoy ___ in bed. Complete what Sofia says. (to read / reading / read) Answer: reading — enjoy takes the -ing word, so it is reading. to read is the shape that works after like, not after enjoy, and the plain verb read cannot stand there on its own.
swim to swimming, run to running
Some short verbs double their last letter before the -ing ending.
swim becomes swimming
run becomes running
read becomes reading, with no double letter
Try it: Wei: What do you do in the kitchen at Farville? Camila: I like ___ the vegetables. Complete what Camila says. (cuting / cut / cutting) Answer: cutting — cut doubles its last letter before the ending, so the word is cutting, with two t letters. cuting has only one, and the plain verb cut cannot stand straight after like.
want / need + to + verb
want and need take to and then the plain verb: I want to swim. and I need to go.
I want to play basketball today.
Mei needs to go home now.
Do you want to watch the film?
Not "I want swim this evening." — say "I want to swim this evening.". A thing comes straight after want, as in I want a ticket, but a verb needs to in front of it.
Try it: Diego: The class starts in five minutes. Amina: I know. I need ___ my keys first. Complete what Amina says. (find / to find / finding) Answer: to find — need takes to and then the plain verb, so it is to find. The plain verb find cannot stand straight after need, and finding is the shape that works after enjoy.