IMO I think the most important considerations are your own personal goals. You did post some of them generally in one of your response posts ("to build a portfolio to buy and hold multi-family houses. I don't need cashflow now, but I do need them to break even."), but you may want to really "drill down" more on those goals and plans before making any moves. Once you start doing that, typically you are able to focus on specific markets or areas better. You quickly discount ones that don't fit those potential goals and do more research on those that might be good for your goals, etc.
Kinda like shopping for a car: when you really think about what you want or need, you may decide good gas mileage, large enough for your family, good power, and other specific qualities or features. Then you can easily narrow down your choices and alter your considerations as needed.
One good way of doing that is to visualize your situation 5,10, 15+ years in the future and what do you want that investment property to accomplish for you. Do you want to have good cash flow, but not too concerned about the appreciation, or vice-versa, do you want a fair combination of both, do you want a property that is desirable and rents easily when vacated (or sells quicker), do you want to be able to sell it at a big profit in 10 years and buy a multi-family throwing off more cash flow or buy 3 other sfr's, etc. Of course we all want our investments to do ALL the above, but that is not realistic.
Basically, its creating your road map so you can get closer to your goals by making better decisions today. My first couple of rentals mostly provided me an education, as opposed to any real financial gain, because I wanted to just "get in the game." I would've much rather have had more intention with my decisions then and I feel I would be much further today.
Then, when you have a clearer idea of where you want to be in the future, you can do specific research to find markets that may get you closer to that goal (growth markets, good cash flow market, etc).
This process will also shape your decisions, like, since you don't need cash flow now, you may want to invest in a growth market with very good appreciation potential in the future. That will probably take more cash to get in now, but may provide more fruit later. I have had rentals in multiple different markets (growth/appreciation potential, cash flow, and a combo of both). All of them provide different benefits, but I personally would rather better appreciation markets or somewhere in between and not be overly concerned with my % returns (quality over quantity for me). I've had rentals that cash flowed well but made me no appreciation over 18 years, I have rentals which cash flow ok and appreciated pretty good (2.5x over 15 yrs), and then I've had rentals which cash flow significantly less, but appreciated great (4x over 15 yrs). I've also got lucky and had a rental in a good growth market with pretty good cash flow, which appreciated over 50% in 2 yrs in both rents and value.
Also, don't fixate on rates exclusively, they are all relative. They are only part of the affordability equation. And if you look at charts, rates do not exclusively dictate the direction of prices, but they can effect the demand.
.....And don't fixate on the last ~5 years and think those were typical, they're not, they were an anomaly based on many factors and not typical of market cycles or timing.