Especially if you live in a high cost area, but also if you're worried about the near term future, don't put 20% down. That's a rule of thumb, not a rule. Yes, you'll probably need to pay PMI, but PMI isn't always very expensive.
If you had saved up a 20% downpayment, but you take my advice and only put 10% down, not only do you have a bigger emergency fund right away, but you also have a smaller sunk cost if you get laid off and you need to change your housing and the price goes down (well you're also going to lose around 4-7% on transaction costs anyway). But, if the price goes down significantly, you're also in the same boat as the lender; they'd rather you keep the loan than foreclose when the foreclosure won't pay the balance.
My credit union will do 90% loan to value up to $2M, and you can probably shop around if that's not sufficient.