You have 2 basic scenarios to consider.

First is no warning disaster. This would fit the Bug in plan. You don’t want to be stuck in traffic. The exception would be a terrorist with a dirty bomb. You simply won’t be able to shelter from the amount of or type of contamination involved. Your only real choice is to run.

Second is with a warning. This would primarily be a storm situation. . Usually you will have a day or so of advanced warning. Don’t wait for the official evacuation order. Since you have the ability to work from a remote location. Use it. Arrange with your employers to use this capacity for a couple of days. Get out before the crowd. Pick your time of departure to miss rush hour traffic jams. You don’t have to go far. Just enough so that you have more options of going farther in the situation warrants.

If you have Bugged in and the situation changes you may have to take it on the lam. Hopefully this is after the major panic subsides and the massed exodus has passed. But at this point any major city especially New York most of the routes out will be impassable. This will be due to abandoned vehicles. Knowing alternate routes may get you passed these. But it is doubtful. Walking or biking may let you slip through the cracks. Be aware of the danger of bridges. No not of them falling down. The fact that they are natural choke points may lead some unsavory types to setup a toll collection station. They may want a little or maybe all you got. Observe the situation at as great a distance as possible.

As for bikes tandems they may look nice but if some thing breaks it is gone. Go with two bikes. If one goes down you still have one. The adults of the family can then alternate riding and walking. The child carrier and a supply trailer can be set up with one on each or moved to be attached to a solo remaining bike if need be. Even without a trailer a bike can be pushed while carrying a large amount of supplies along with a child. Pushing a loaded bike is a whole lot easier than carrying it on your back. Also the amount you could carry will be much greater. You might want to think about equipping a bug out bike with airless tires. I know that most purists will scream bloody murder about this. In the case where it is used for emergency transportation you don’t want the extra problems of having and needing to deal with flats.

If you still want the option of driving out. Keep an eye out and at least a mental list of construction sites and municipal depots. Any place that holds heavy equipment. Bulldozers and the like would be very useful in removing blockages.

As for stocking supplies and equipment would be much the same as those of your country brethren. The basics of living don’t really change with location. They might differ slightly because of specific individual needs but the basics are the basics.

Apartment living will require you to be a bit more creative in storage. Renting a house has drawbacks also. You are not allowed to make structural changes. Owning lets you change and add on if needed. If you own you might want to study up on safe rooms and storm shelter designs.