Anything in close walk to any beaches in the entire country is always a good to a best neighborhood to be in for they are by far the #1 locations every one wants (or, at least, dreams to one day live on a beach). Remember the old saying: "Location, location, location!).
That being said, if your husband is to work in Fort Lauderdale, then, Fort Lauderdale's "east-side" (along the beach) will be where to look (if your husband will work north Fort Lauderdale, then you can also consider south Pompano Beach, and so on). But, if you don't mind long commuting drives, then, Delray Beach (about 25 miles away) or South Beach (also 25 miles away) are also great areas to live.
However, Fort Lauderdale is really a small town with a big, BIG attitude loaded with tons of civic activities, theaters, zillion of restaurants, exciting night life, GREAT SCHOOLD (public or private) and a huge International Airport only 15 minutes drive to. If you get bored living in Fort Lauderdale, don't blame Ft Lauderdale ;-)
For your budget of "...up to $2,000/month..." it should not be difficult to get you in a condo (not a house) within a short walking distance to the beach on a yearly lease. If you want a house, you will need to be in-land within 10-15 minutes drive to the beach.