There is also a water taxi service run by Tuff E Nuff from the Belizean Shores dock (a sister property). When we were down last summer, they had a very reasonable weekly rate for guests. You can also rent bikes or a golf cart through the Belizean Cove office for the adventure of driving to town or to restaurants.
We usually have groceries delivered before our arrival by Lagniappe Provisioning and pick up extras at Captain Morgan's store or when we're in town. There is also a grocery store on the north side of the bridge, but it isn't easily within walking distance.
We like the Lazy Croc for bbq, but it's only open short hours on Friday - Sunday. Sometimes we buy extra and save it for another meal. Capricorn and Captain Morgan's have reasonably priced breakfasts and are right next door. If you use the pool at Coco Beach, you can order lunch from their swim-up bar.
Others will have many suggestions for places to eat. We usually eat breakfast and lunch in the condo, then go out for dinner.
Have a great time!
(I'm a Belizean Cove condo owner)