If you want anything bigger than a small 1 bedroom appt your $1000 budget will be tough to meet, whether it be Boston or Waltham.
One consideration you might have: is your husband's work place convenient to the Waltham or Waltham/Brandeis train stations (20 mins from Boston-North Station; just a dozen minutes from Cambridge-Porter Station) or a bus line, or is it where a car will be necessary? If you can avoid having a car in Boston (using Zipcar or a similar membership service, or renting, when a car is necessary) it will save you oodles of $.
Nearby to Waltham, in addition to the communities mentioned by Pitchowl with respectable numbers of rental housing, there is also Watertown and Newton. And living in Waltham is not without its plusses; that includes a most vibrant restaurant row, including a brewpub, and theaters in its old downtown.