@Warren Sawyers
It depends, are you looking to buy rental properties to hold, or buy properties to fix up and flip?
With 10k I would go for an FHA loan on a multifamily like was previously mentioned. Live in one side, rent out the other, fix it up if need be, and start saving for the next one. That's the more conservative approach, and many will disagree with it. There's a little more red tape with an FHA loan, but research it and speak with lenders to see if it's right for you.
If you’re wanting to flip you’re going to need private or hard money lenders to fund the rehab. I don’t have any experience with flipping, and very little with rehabbing my own properties, so I’m not qualified to give much advice on that.
Either way building a solid team is key so start networking and learn as much as you can about whichever path you choose. Pick a niche and stick with it until you’ve mastered it. There is a ton of ways to make money in RE and it’s easy to get distracted. Stay focused, learn, network, utilize BP, and be persistent.
Wishing you nothing but success and good fortune!