If you are expecting your first one in May, your lens use will change drastically upon his/her arrival.
Forget the long telephoto zooms, you will kick yourself in the head if you buy them now and miss "the picture" of the little one inside.
Even though you said the 24-70 was too heavy, take another look it isn't that much heavier than the 24-105. The wider apeture will help when all you want is the little one as the subject (they will after all, become the center of your universe
Next in line would be the primes, if $1k is your budget, you could get the 50 & the 100mm. Both will allow you to do a wide array of work indoors and out.
Save the telephoto zooms for when your child starts playing sports *or* has their first school concert. By then, you'll realize you will need a fast tele (and/or a good strong flash) for that. . .