Regarding Limo service, I can recommend a company that I've been using since moving to NY over 6 years ago..

Manhassett Limo (1 800 621 7577)
They charge me about $110 for a one way from long island to JFK/LGA or Manhattan, a trip of about 40 miles

Their rates are pretty flat, they have NEVER failed to arrive on time, meeting me at departure level in the car, or at the baggage claim if I choose

They always arrive at the house about 30 mins early (Once they arrived only 5 mins early and I was about to panic! )

Give them a try.. I won't use anyone else.