This case has a high probability of success as long as the packet is well documented to show a bona fide marriage. All of the forms necessary for filing can be found at www.uscis.gov. However, if you want to an expeditious handling of your case, I would recommend that you hire an attorney. Does your husband still possess evidence that he entered with the tourist visa? This will be a key document to show a valid entry with inspection.
Best of luck.
Verdin Law Firm
You should definitely consult an attorney. There a couple of timing issues here which need to be looked at.
First, the time between when your now-husband entered the U.s. and the time you got married - if you got married too soon after his entry on a visitor visa, USCIS may claim that by marrying a citizen so soon after entering he demonstrated that at the time off entry he already had the intent to remain in the U.s. permanently, which is inconsistent with the "non-immigrant intent" - intent just to visit and return home - required for the visitor visa. they may therefore say he committed fraud, deny the application and take steeps to remove him from the U.S.
Second, timing of your first application for an earlier spouse vs. the current one - making sure enough time has passed so USCIS won't be suspicious and question the "bona fide" nature of your marriage..
Speak with a lawyer.