Where is the nearest Trader Joe's to Bedford?

Tracy is right, Danbury, exit 2 on I 84.

The nearest Trader Joe's to Bedford would actually be in Darien, CT and it would be a 13 mile drive. It would take you about a half an hour total.

there is a new one in Stamford, right on High Ridge Road, close to the Merritt parkway

Or, if you happened to be coming through the opposite direction, you could stop at the Trader Joe's at #215 North Central Ave (Hartsdale) or the one at #727 White Plains Road (Scarsdale). The distance is just a bit further.

Off exit 2 on Rt 84 East or off Rt 6 there is a very nice shopping center with some very nice stores all in one location. There is a Trader Joe's, an Annie Sez which has always had incredible values for women's shoes and clothing, a liquor store with good prices and a new Shoe Warehouse with an extraorinary selection. Plus a Staples, a pet shop and a great little Mexican restaurant. One stop shopping I say!

If you live in south Salem you could go to Connecticut and have Connecticut tax rates which are cheaper than ny tax

I was going to suggest the Trader Joe's in Danbury, though that one's about 20 miles. But it's right off I-84, pretty easily accessible and not far from Danbury Fair Mall.