Airports - they're a long way from anywhere (Pt 2)

So the next part of the adventure will be getting from JFK to Harlem, which is where my B&B is. There are a few options, naturally.

According to the guide book I picked up from the library (New York City for Dummies, 6th ed'n, 2011), my choices are:

1. Take a cab, which will take around 45mins, or much longer if the traffic's bad (I will be arriving at peak hour), and cost $45 plus peak hour surcharge plus tolls and tip (15%) - total of around $60.
2. Book a private car, known as a limo (*), which will cost about the same as a cab
3. Take a shuttle ("minivan"), 
1. Option a: Buses leave every thirty minutes, and cost around $15, dropping me at Grand Central Station (New York Airport Service); then take No. 6 train to 116 St/Lexington
2. Option b: On-call vans, costing $23 to drop me at a residential address (SuperShuttle)
4. Take public transport, apparently a time-consuming but cheap option. A bit of google-fu tells me that this involves:
   
1. Take the AirTrain to Jamaica station (Sutphin Blvd/Archer Ave) -  $5, around 10 mins, every 7 minutes
2. Connect with the E train, to Lexington/53rd St - $2.50 (**), about 30 mins, departs every 5mins or so
3. Switch to the No. 6 train, to 116 St/Lexington - $2.50, about 15mins, dep every 5 mins or so
4. Walk the two blocks to where I'm staying
5. Total: A bit over an hour, costing $10.
Possible bonus: I get to stop in at the Apple Store in town (767 Fifth Ave, between 58th & 59th Streets) and buy a wireless keyboard on the spot

In the end, I'm tossing up between option 3b (simplest) and option 4 (more adventurous).  I think I'll probably go with the shuttle, and then if I'm up for it, journey back into town - the Apple store is open 24/7 if the jetlag won't let me sleep, and I'm game to walk the streets/catch the subway at night.


(*)  Last time JD and I went to the States, we were impressed to be told we'd be collected by a limo, which to us means a stretch limo.  We were somewhat disappointed when it turned out to be just a regular car.
(**) I'll actually get a seven day metro card, which will make those two fares around $2.07 each