'would like ' means to prefer...your main verb is second verb...
ex:if you go to a restaurant servant can ask you...and you can want a coffee...
ı would like to drink a coffee...' bir kahve icmeyı tercih ederim'
and you know there are infinitive and gerund...
gerund means isim-fiil in turkısh
ex:ı go dancing twice a week...'haftada iki kez dans etmeye giderim'..
infinitive means also isim -fiil in turkish...
ex:ı want to speak turkısh with you...'seninle turkçe konuşmak istiyorum'
first verb dans et-(me) we use..
second verb, konuş-(mak) we use..
so inf-gerund separete here in turkısh...
ı hope ı could explain..