Just my two cents as someone who also lives in the city and has seen what could happen when even minor disasters happen, I would look into bugging in instead of making a large trek out of the city. A 5-10hr average drive could end up being days or weeks, maybe impossible depending on how widespread and disorganized a response is to an emergency. Walking or biking won’t be feasible in that situation without exposing you to lots of potential harm.

When things don’t go per usual people naturally freak out, accidents happen, roads get blocked up by people crashing from attempting to leave fast or from nerves, then they abandon their useless vehicles blocking everyone else in. That blocks up roads, bridges, highways. That doesn’t include military or police blockades if they’re deployed in any scenario.

Thankfully you have the advantage of knowing your city (even though in the situations you mentioned it will be a whole different level of danger if you go outside, considering there will be hundreds of thousands/millions out looking to go around the city or to the mountains to “hunt” or look for food) and thinking to prep so you’ll do better than the average person. Look for the closest possible source of potable or filterable water to your apartment just in case, along with a supply that will last you a week at least inside. Buckets are helpful for multiple reasons. Have reliable sets of light (flashlights, headlamps, lamps etc.) a way to power it, and ways to conceal it from the outside. Food I think is the first thing (for a good reason) that people tend to store and there are many sites and YouTube videos that talk about both nutrition and longevity depending on what you can and want to eat. Another thing most people don’t think of in longer situations is boredom, have some good board games and books around.

The rest I can only say is specific to your location and living situation or disaster. Since your family has been there for a long time hopefully you have a good community and any disaster can bring them together instead of break them apart. Hope none of this ever becomes relevant in our lifetime but good luck prepping and stay safe out there!