@Flavia Vangelotti sounds like you're in a great spot financially to get into real estate investing if that's what you want to do ultimately. I understand where you're coming from, it's a mindset shift and I think many (if not most) people here will tell you that the shift occurred after reading "Rich Dad, Poor Dad"... so if you haven't read that, you may want to.
Buying a property for your mom that you have to put money into each month even after the mortgage is paid off (taxes, insurance, maintenance) will only work if you have significant appreciation to offset that, which is what you probably experienced in California (and I experienced in Canada). But it's risky and can go the other way also. And you'll only realize the gains after you sell it or refinance and pull out some equity.
Having a rental property can pay your monthly expenses, plus hopefully some profit, and if it doesn't appreciate, who cares, you're still making money, paying down the mortgage, etc. And if it does appreciate (which is more likely), it's a bonus!