We live in Northpoint.
There is a Shaw's 2-3 blocks north of the Lechmere metro station. Its prices are low, and the store is more modern and cleaner than the Somerville Market Basket. The former is a 20 minute walk from Kendall.
There is also a Whole Foods across the Gilmore Bridge at the Community College orange line metro stop. It was shoehorned into a reclaimed building, but isn't bad, though considerably pricier than Shaws (like an Harris Teeter, if your area of the south has those). Add 10 minutes to cross the bridge.
On Friday/Saturday, your best bet for fresh fruits and veggies (among other things) will be the farmer's market near the Haymarket metro stop. Walk to Lechmere and metro to Haymarket.
We eagerly awaited the new H Mart, but its selection and quality are "meh", and its prices are "downtown".