I see you asked for priorities, and I never answered that.
We prioritized in this order: price, location, house. We were absolutely not going above $275k. We could have afforded more according to all the formulae, but we love to travel and didn’t want to feel too house-poor to indulge our interests.
Location was almost equally important. We are in a river town and knew we wanted to be on the east side of the river. We ended up compromising and bought slightly further away from the downtown area than was ideal for us because of price. We ended up just on the other side of our ideal boundary line, though.
The specifics of the house were less important. We wanted most of the main living space to be on one floor, but that is easy in our neighborhood due to the age and style of homes here. My husband insisted on a 2 car garage because of the harsh winters and the car-dependent culture here. Beyond that, we went in with open minds. As I said previously, we mostly looked for things to be well-maintained and for the general flow and size of rooms to be acceptable. I did not get hung up on any cosmetic issues. For example, I don’t like the carpeting, the dining room light fixture is ugly, there is 1970s wood paneling on some walls in the foyer and basement, the master bedroom is on the small side, and the yard is much larger than we wanted to have to maintain.
But, in the end, all of the features that bug us about the house can be changed, with relative ease. I can take down paneling and plant part of the yard in low-maintenance shrubs, etc. It’s all worth the peace of mind of knowing we could put 20% down without totally depleting our savings, and that we could pay the mortgage even if one of us lost a job/income. Personally, I could not live with the anxiety that comes with owning a very expensive house relative to our income and assets.
This is not to say that we don’t really like our house. We absolutely do. But we love it for the bones of the house, not the decor. And ultimately, I feel that unless you have unlimited funds, there are always aspects of a house that you settle for. It is harder to “settle” on price and location, because those wear at you every single day in the form of stress (bills and time spent commuting). Having wall-to-wall carpet and an electric stove instead of hardwood and gas, not so much.