How do you take links out of a chain?

Answer 1

I strongly recommend you to get a special tool called a chain breaker. There are improvised methods too, but they're all fiddly and awkward. Unless your nearest bike store is really far away I strongly suggest that you get the proper tool instead. They usually come with instructions anyway, which can be helpful to you.

Answer 2

It is possible to use a hammer, a drift punch and a pipe as an anvil. But it is fiddly, difficult to get it right and has a high risk of injuring yourself and messing up the chain and the bike. I do not recommend it.

9 out of 10 people would get done faster (and with a better result) if they went and bought a chain breaker tool instead of mucking about with improvised methods.