Here are three sentences with two verbs in each sentence. These are different forms:
I’d like to go on a trip to Alaska. to-infinitive form
We could go on a cruise. infinitive without to
I can’t stand waking up early. -ing form
And this is how they are used:
Go (+activity)+-ing; I go swimming at the weekends.
Verb+preposition+-ing; He wrote about travelling to India.
Would like/love/hate+to+infinitive; I would hate to miss the flight.
Like/love/hate+-ing; I hate waking up early.
Modal verbs+infinitive without to; We should do more to conserve energy.
Can’t stand/help, look forward to+ing; I’m looking forward to meeting her.
Some verbs take both the –ing form and the infinitive but there is a difference in meaning.
If it gets too hot, try opening the window. TRY + -ing – solution to problem
Can you try to open this jar because I just can’t? TRY + to + infinitive – ability.
Also if the action is looking forwards in time to+infinitive is used before the next verb.
I remembered to switch the lights off before I left the house. FIRST I REMEMBERED, AND THEN I SWITCHED OFF THE LIGHTS.
But if an action is looking back in time –ing is used
I remember meeting him last year. (remember – recall from my memories)
I MET HIM LAST YEAR AND NOW I REMEMBER OR RECALL THE EVENT.