Personal Recommendations?

I'm thinking of trying my hand at just recording gametime and then posting it on youtube. Just a straight and simple record, upload, done.

This isn't just for League mind you but also Overwatch(Hahahaaaa..accursed games sucking me in)..

Any recommendations on programs for capturing gameplay? I'd like ones that require the least amount of hardware backing the up as my main PC is getting along in age.