Start at Central Park, entering near 72nd Street and making a beeline for Bethesda Terrace, the lake, and the tree-lined Mall. This is the park at its most atmospheric, before the paths become crowded; allow about 90 minutes for an easy walk and photos. In August, bring water and expect warm, humid weather. From the park, walk south along Fifth Avenue or take the M1, M2, M3, or M4 bus toward 59th Street for brunch at Sarabeth’s Central Park South. A table around 10:30–11:30 a.m. is ideal; budget roughly $25–$45 per person, and check the restaurant’s current holiday-hour schedule before setting out.
After brunch, walk west into Rockefeller Center, taking in the plaza, the Atlas statue, Channel Gardens, and the surrounding Art Deco façades. Allow about an hour, then continue to Top of the Rock for your reserved timed admission. The observation decks are especially good for the broad view of Central Park to the north and the Empire State Building to the south; plan 90 minutes, including security and elevator queues. Keep your ticket time firm—summer demand is high—and arrive 15–20 minutes early. From Rockefeller Center, walk south along Sixth Avenue to Times Square, a roughly 15-minute stroll, and spend 45 minutes wandering the pedestrian plazas and side streets around Broadway. It is busiest and brightest near 42nd Street, so keep phones and wallets secure.
Leave Times Square with plenty of margin for Statue City Cruises at Battery Park: take the 1 train from 42nd Street–Times Square to South Ferry, or use a taxi if traffic is manageable. Allow 30–40 minutes by subway door to door, plus time to find the pier; arrive at least 45 minutes before your reserved evening departure. The 2–3-hour cruise offers the best skyline views as the light softens, with the Statue of Liberty and New York Harbor becoming particularly striking around sunset. Battery Park has cafés and food carts, but eat beforehand or bring a snack rather than relying on limited pier options; keep a light layer handy, since the upper deck can feel cool and breezy after dark.