Ask HN: How can I become a homeowner?

I'm a young-ish person, dreaming the American dream of purchasing a home. Like a lot of people my age, I've had an almost pathological aversion to taking out loans or using credit cards extensively. I don't have suspect credit history, so much as little credit history at all. The good news is I have negligible student debt and healthy savings, in addition to a job and current income stream that allows me to put a bit away each month. I already have about 10% of the downpayment for what I think I could afford saved up. I just have no idea what the next steps are. Thanks in advance for any advice or resources to help cure my real estate ignorance.