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Hiring a lawyer may only get you legal guidance on how to prepare for the interview, but the ultimate buck always lies with the consular. Your best bet is still to apply at the same CP. Since you have moved from F1-->H1, you probably have single entry. I would recommend that for multiple entry you go back to your country. If you go to a third country, it doesn\'t give a good picture to the consular. Second, try and set up an appointment for your family\'s interview such that you are able to file the documents in advance (usually after 3 rejects, you have to follow this route). This gives you an oppurtunity to get things in writing for their review. Get legal guidance on writing the cover letter.
Review all the questions that have been asked in previous interviews, and make sure that you correspond exactly what you said earlier. They usually take notes during interviewing and like to cross check.
Carry all the documents relating to your H1 (very important).
Just my 2cents. Good Luck.