I dont think you can apply for OPT based on your current status H4 and finding a job with this status is very very hard.The employer will mostly not be willing to file H1-B directly for an entry level position with Bachelor's unless your spouse is extremely skilled in her area and from a top school mostly on engineering, IT, science or medical areas. I am not saying is it impossible but will be extremely difficult. In my view you have 2 options.

1st is to change her status immidetely to F1. I believe USCIS accepts change of status premium processing (not 100% sure). Do that immediatley as her graduation is comming pretty soon which I guess is in may. you can apply for OPT after that.

2nd choice is not bother to change of status and remain on H4 after which you can join IT consultancy who train you and place and eventually file H1-b. you will not have social security until H1-B is approved. 

I will suggest you go to the 1st route. there might be other options too which i cant think of. probably some other people might be able to help you.

good luck

 if u change the status to F1 and apply for OPT, you will be granted SSN...u can talk to DSO of the school ur graduating....

Dear Accord,
Following up on your suggestion. Where does she needs to go to talk to inorder to change her status to F1. Does she needs to contact her school for that? just curious....

Just like mrbored suggested is to contact the international office of the college and talk to the dso. I would suggest to talk asap. On monday if you can. You dont have lot of time specially if there is no premium processing for allowed for change of status. Be prepared with documents. In the mean time check uscis.com for change of status process and be ready. If the university has large no of international students they might open on saturdays so talk to somebody at least you will get some idea.