Having utilized both, I prefer wordpress to blogger. I think it's much more intuitive to use and gives you much more options. Be sure to go to wordpress.com (which is free) rather than wordpress.org (which you have to pay for). IMO, you should not have to pay to blog, unless you get to a point where you have an established audience and want your own domain name rather than domainname.wordpress.com.
If you go to wordpress.com and follow the steps, it really is pretty easy, even for beginners.
I know I've seen a couple tutorials on WordPress about how to make money off your blog. It's not something you're going to see pay off immediately (unless you're very lucky) so if that's you're primary purpose, you'll want to keep that in mind. In order to make money, you'll first need to get traffic to your blog. To receive and maintain a decent level of traffic, you need quality original content that is updated regularly.
Then, you might choose to put on some Google Ads. Or else you might even take advantage of the Amazon Associates program by linking your blog to your Amazon.com account to receive a unique referral code to add to every amazon URL you place on your blog. Then you'll get a little kick-back from Amazon if someone buys something after going to Amazon through your website (regardless of whether or not they buy the specific item they clicked on initially). And, of course, you can always add a paypal "donate" button or "tip jar" so that people can chip in. You probably don't want to put both a donate button and have advertisements. That may put people off.
I've never implemented any of these things myself, so I can't really give you an idea of how much you can expect to earn. I would guess that it would take a lot of work initially, but once you have established yourself enough, you may earn a regular amount of income with minimal, but consistent, effort.