What is Catch:
Catching, in general terms, is the act of collecting or wrap your fingers around an object and hold it. To pick up means to pick up something both in the material sense and as in the figurative applied to all the senses.
The word coger is not commonly used in Spanish-speaking countries in America except for Mexico which uses the word in a similar way to how it is used in Spain.
The use of the verb coger in both Spain and Mexico is analogous to the use of the verb take in the remaining Spanish-speaking countries. The word catch in the rest of America refers specifically to the performing the sexual act.
Coger in Mexico, as a synonym for taking and in a material sense, can refer to many things such as
the use of a conveyance: taking the subway or taking the taxi, the act of pick something up for a next action: help me get these boxes, he took the things and left.
Fuck in the figurative sense It also has several meanings such as:
he act of surprising someone doing something improper, synonymous with cheating: he caught him stealing, the act of happening to have something generally immaterial, such as feelings, a state of mind or a quality or virtue or illness: I grew fond of him, he picked up his mother’s quirks, catch an illness, gain strength. act of understanding a theme, a relationship or matter: I didn’t get the joke.