I'm sure there's a lot of useful grammar information that could be extracted from those two grammatically correct sentences, but I wouldn't interchange them that way. It depends a lot on the context.
The first one,
"Yes, I like to read news from other parts of the world because it's a good way to keep yourself up to date." suggests generality, matter-of-fact, or even didactic undertones, in a lot of cases.
For example, when a father says that to a kid.
The second one,
"Yes, I like to read news from other parts of the world because it's a good way for me to keep myself up to date." suggests an opinion, a piece of conversation, specific to that person, that might not hold for another, in a lot of cases.
For example, when a friend who gets news through the radio, asks another out of curiosity if and why they read a lot of newspapers.
It depends on the context. There are examples where the first one is not didactic at all and where the second one is.