The first month would be the hardest as various systems that previously had been running autonomously finally failed. The sheer amount of crap that would catch on fire in an urban area would make being able to move and move quickly a priority... So stock up a vehicle with survival kit and keep it nearby.
Once things stopped working, though, life would be pretty easy. Any of the big chain convenience stores that survived the fires would have enough non-perishable stuff to feed and supply a single human for years. Might be a good idea to get a gas mask for after the meat and produce have turned.
I'd stock up a utility van with basic survival kit and go somewhere with a nice year-round climate. Read a lot of books. Watch a lot of DVDs. Do a lot of drugs. Make the occassional trip to places I normally wouldn't be allowed to go just to see what was hidden there. Not a lot to it.
Re: Inbreeding and rebuilding the human race.
Returning cryogenically preserved ova and semen to a viable state isn't a matter of putting them out on the counter to thaw. Also, without a regular delivery of liquid nitrogen, they wouldn't be cryogenically perserved within a few days.
You might succeed in getting yourself pregnant and having one child. If that child happened to be male you can try it again in 12-15 years, assuming you both survive the birth and he survives childhood. If that child is female, oh well, tough shit. If you happen to be male... what exactly were you planning on doing with those embryos? Keep them in a shoebox for nine months?
Genetic diversity isn't as big of a problem as you might think. Instill in your offspring the pragmatic importance of culling the herd and the necessity of everybody getting down with everybody else. This will lead to some really fucked up ethical systems for several hundred years if you succeed in establishing a breeding population, but you'll be dead.
I don't think it's worth the trouble, and I'm male so I wouldn't have the option of trying it, anyway.
Nuclear power plants might continue operating unsupervised for several months. There's minimal risk of catastrophic failure under plausible initial conditions. They would probably end up damaged beyond reoperability by their own decay heat when they finally did shutdown, but I doubt anyone would ever be trying a start-up on one again, anyway.
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Simple Machines in Higher Dimensions
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