Carrying capacity is the maximum amount of a species that can indefinitely live within an area. In this case, humans are the keystone species, at the apex ordinarily of its niche.
We live in a civilized world, often urban, in very high concentrations that ignore carrying capacity. Why? Because all of the materials, food, water, medicines, etc are shipped in.
How is this possible? Specialization. Your personal skill sets add to the collective, and generate fiat money which is then exchanged for goods and services.
Without constant trucking in of supplies, most groceries have three day inventories under ordinary store traffic and normal purchasing.
Without an influx of supplies, residents would depend upon the ordinary carrying capacity of water, lumber, food items such as they naturally found within the localized area of your city. Even those must be distributed in some fashion.
Certain people within the community will have certain skill sets that will be of limited value within a SHTF scenario. They will be unable to generate needed items, not only to take care of themselves, but to barter for other needed items outside of their personal needs.
Hunting, trapping, and fishing is not at all like our ancestors would have experienced. There are not abundant species of animals to procure, other than perhaps initially pets...a gruesome concept.
Even if one had the ability, the idea of suddenly even small numbers of hunter-gatherers harvesting from local wildlife areas would strip out species of varying ages and no doubt dooming future generations of animals. Plants too.
Even still, the ability to properly take down, butcher in useful amounts meats, and then prepare them under hygienic amounts, and in sufficient caloric intake would be daunting. Spoilage would occur as meats without refrigeration would soon go bad, and without proper canning tools, or the ability to properly dehydrate meats, there most likely would be spikes in meat availability. What would you trade for access to food in the absence of money?
So you can see the issue of bugging out versus bugging in. Most of live in urban areas of such size and a lack of supplies could rapidly descend into anarchy. Citizens of large towns would probably decide en masse to relocate to smaller towns, with the perception that their money would procure goods and services there in that new locale.
How do you think that would play out?
Do a quick internet search of the sex offenders that are situated within a 5 mile radius of your home. Do another search of prisons. Consider the amount of ex-offenders also located within a 5 mile radius. Pretty scary, no?
Now is the time to plan what you would do if you had to leave. What route would you take? When would you leave? Where would you go? How much could you take with you? What would it be?
This has been discussed numerous times and scenarios analyzed. The general consensus is to go South for warmer climates and to smaller rural areas. I'll leave you to make your conclusions about that. I doubt that those folks will want an influx of visitors. Local weather patterns may influence your decisions too.
Other people have discussed Western areas and hence lower population density, higher availability of wildlife, and a higher than average survival mentality i.e. LDS folks. The availability of water sources is a chief concern.
There are more questions than answers on the subject. As any parents know, travel is extremely expensive. Friends and family may be willing to assist you in rural regions.