If you're looking for a meeting place or a good stop around ½ or halfway between Newark and New Rochelle, you can try Fort Lee, NJ, which is about half an hour northeast of Newark, or about half an hour southwest of New Rochelle.
About ¼ or a fourth of the way, you can stop at Lyndhurst, NJ. This is about 12 minutes northeast of Newark.
About ⅓ or a third of the way, you can stop at Union City, NJ. This is about 15 minutes east of Newark.
About ⅔ or two thirds of the way, you can stop at Dyckman Houses, NY. This is about half an hour northeast of Newark, or about 18 minutes southwest of New Rochelle.
About ¾ or three fourths of the way, you can stop at Park of Edgewater, NY. This is almost an hour east of Newark, or about 12 minutes south of New Rochelle.
If you drive straight through without stopping at all, the total distance is 34 miles. The distances shown above don't include local roads to get into each town, so if you're planning a long road trip, make sure you factor in traffic and road conditions, rest stop breaks, and interesting detours along the way. If you're in a rush, you can do the trip with zero stops, and your total travel time would be around 52 minutes.