I'm not 'close' but generally speaking, these cars replicate what most cars were like in the mid 1960's. I don't know how old you are so I'll relate "my" experience and see if you're able to relate.
At 16, I learned to drive in High School in SF; back then drivers education was free, cars were just beginning to be smogged, had ugly looking 5mph bumpers, and gas was under $1/gallon. I was more familiar with my fathers 64 Fairlane Station wagon, and my brothers 65' Mustang. This is back in 1975.
To drive cars from this era, you generally threw the following in the trunk:
1 qt. of 30w
1 gal. of
antifreeze
Duct Tape
basic set of tools
spare fuses (glass)
flares
jumper cables
Dimes and quarters - because back then, there were NO CELL PHONES.
There were schedules for the following:
Oil and filter change
air filter
spark plugs
caps and points
radiator flushes
grease
Side-bar: Personally, with a car like a Cobra, I would rather do the maintenance myself rather than leave it with some "shop". Most owners you will meet will pretty much do the regular maintenance but there are a few that don't have the space or possibly have back problems and need a shop to do the work instead. Unfortunately, I don't know of any places on your side of the Bay Area but a group in the Livermore area should help out for that specific issue (see my comments towards the end of this)
Back to maintenance schedules, you will likely get a range of answers. I wouldn't say any thing you hear is actually better than the next answer you get because it also depends on the age of the car you get. But for how I treat my FFR in this case, I do the following maintenance (my car is now 5 years old with 14,000 mile but on it's 2nd engine):
Oil/Filter Change: 6 months or 3,000 miles but sometimes if I'm really lazy, 12 months or 5,000 miles.
Air Filter: I just check it to see if I can still see opaque light through the inside of the air filter. If it looks dark grey, it's time to change. IT really varies depending on where you drive it. It's not likely you'll be hitting dusty roads in Oak-town so you just check it every so often but I'd say, you could probably go about 10,000 miles before you need a new air filter.
Grease points: really, I just listen for the first signs of some sounds coming from the pivot points but you could just put it on some kind of regular schedule and pump some grease once a year or every other
oil change.
Spark Plugs: you should be able to go anywhere from 10k, to 20k miles before needing to change them out.
Points, Rotor and Cap: I've changed my cap once due to corrosion; otherwise, I would probably have changed it when plugs are done. Points are near extinct. If you have points, you'd probably change that out at the same time as the cap and plugs IMO but these days we have electronic ignitions but you better check it out when you get your own replica. So the only other thing to change out would be the rotor and again, same time you chuck the plugs and cap.
If you really want to talk to a lot of people and get a lot of opinions and places to take it, I urge you to go to Livermore Saturday morning around 7:30-8:00, at the Rock House Sports Bar and Restaurant. I don't get out there as often due to being on the Peninsula side, but some dozen or more replica owners should be out there for breakfast and other types of jawing. Introduce yourself and you should get a better idea.
Good luck and welcome to the madness.
In the market, and getting ready to buy
Beers are on me 
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