Lizz - Shea, Yankee and Giants Stadiums are not as close as they sound - or even look on a map.
Shea Stadium is out in Queens but there is public transportation from Manhattan. Yankee Stadium is in the Bronx and there is transportation there too from Manhattan. To get from one to the other though will take some doing and knowing the subway system.
Giants Stadium is somewhere in the swamps of Jersey

(if you're not a Bruce fan you won't get the lyric but it's accurate LOL)
There is really no transportation from the city to Giants. It's possible that there is a busline that goes close enough that you could get there but it won't be easy.
However, if you are in the area, it can all be done somehow. Even if you have to get a cab (or a limo) it's possible to get there. It's just more expensive.
Kathleen