Annual rye grass is a cool season grass that (theoretically!) lives for only one year. It is very fast growing and fast sprouting so people use it two ways - to get rapid turf on a new lawn or dead spots while waiting for desirable grasses to sprout or, here in the south, to have a nice green lawn all winter. Some folks use a perennial rye that comes back each fall.
You can sod now but the sod won't really grow or root well this fall, Bermuda likes to see 80+ and a lot of sunshine to really take off and we are fixin to get chilly.
If it were my yard, I'd either wait til Spring and then sod or plant annual rye for the winter, feed it good (get your organic program going too) and then plant Bermuda seed in Spring.
The annual rye dying off and rotting loosens the soil nicely and leaves nice channels for water/nutrients to get into the soil.
I would however suggest waiting til your Husband is in a good mood before breaking that "Gee honey, you get to mow all winter" news to him
Where can I get one of those?
I'm a tight-wad too though.