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I rather like Fairway for shopping, even though sometimes the place made me want to scream. I like the nearby Levain for espresso and baked goods. This is a bit south of where you are, but last time I was in that area nothing really struck me. My late maternal grandfather used to live at 106th and Riverside Drive, but he went to a no longer existent Sloan's, and to Zabar's (but that' down at about 80th).
I hope you find something in your immediate area, since it struck me as a bit taken over by chains. There was a bakery across the street from St. John the Divine, but I cannot remember the name; I took away some very good pastry and coffee from there, on a number of occasions.

What is so weird about that. It specializes in smoked/cured fish not raw. If you need raw, go to Citarella's.

Fairway has an awesome selection, but it's so crowded and crazy in there that you really have to be in fighting mode to make it through there. Not worth it for basics.

It's been a couple of years, so I don't doubt things have changed, but Westside Market reopened at 110th, and I remember appreciating their selection (specialty stuff--good cheeses, deli etc--along with the basics).

Flor de Mayo at Broadway and 100th (if it's still there) has some seriously delicious rotisserie chicken. It's marinated, South American seasonings, and I miss it.

The Seinfeld diner (Tom's) had lousy food. There is a better one a couple blocks down (110th or 109th), I think it's called Morningside Cafe or Diner, which has good challah french toast and basic diner offerings. It's smaller and generally calmer than Tom's, which can feel a bit like a dorm dining hall.

On Amsterdam Ave you'll find a number of good Mexican taquerias. Also, there are a few great Ethiopian places (I think Massawa was where I went most), also on Amsterdam.

The Heights, on B'way and 111th or so, is a great place to go in good weather for good wings and a beer on the roof. It's popular with the students, though, so I'd recommend it for lunch or unless you're up for a crowd.

Yes, forget Tom's diner in Morningside Heights, I think on 112th?? (Monk's from Seinfeld) Anyway, it's a greasy spoon, the waitresses are rude and they seem to feel that since the exterior became famous it's a big deal. Zabar's has a wonderful appetizer shop and they roast and grind some of the best coffee in the world. Delicacies abound! For breakfast schlepp on over to Barney Greengrass on Amsterdam Ave. Only if smoked fish is you food of choice. (It is mine!)
Finally there's a little place called the Manhattan Diner on Broadway at about 80th. It sits opposite the "On The Avenue Hotel" and is surprisingly good.
Bon Apetit!!

my old neighborhood! i second the recommendations for silver moon bakery (lovely pastries), hungarian pastry shop (skip the pastries, as they tend to be pretty stale and uninspired. also, the adjacent p&w sandwich shop is owned by the same people, so you can bring their food into hungarian - good, basic sandwiches and really friendly service!), community food and juice (same owners as clinton st. baking co.), and flor de mayo.

for grocery shopping, i liked fairway (i'd really recommend the harlem location instead of the one in the 70s - it's not nearly as insane/crowded. plus it has the cold room!); the newly-reopened westside market (broadway at 110th) is also excellent. in addition, i like the shawarma/falafel sandwiches at jerusalem (bway at 104th), the tortas at taqueria y fonda la mexicana (amsterdam at 108th), and the frankies at roti roll (amsterdam at 110th). i also really like pisticci (la salle and bway). i haven't personally been to malecon (amsterdam at 97th), but my catalan prof recommends their bacalao. i've also heard good things about metisse (105th and broadway).

in terms of bars, i used to love ding dong (columbus at 106th) because there was never anyone there (or at least no hordes of college students), but the last time i went by it was superrr packed and just a really weird, loud scene. a lot of my friends like la negrita (columbus at 109th).