I agree with the others on this one. Walk away. There are other houses out there, trust me. My parents have moved 4 times in Houston and the first house seems like a dream house, then every time we move, it seems to get better. Don't rush into this.
Pretty sure you'll retro-actively have the answer to this question when you see the Tolstoy novel's worth of paperwork during the lending application and close. God help you if you get into a back and forth on the offers and counter-offers. I was buying my condo for my new job down here while I still had my old one, and I was told FHA couldn't close without my first new paycheck. Also, I opened a couple of Amex accounts a few days before my whole house search even began; and a month later, midway through my loan application process I got a call from a third party verification company asking about those two cards. Lastly, remember that the lenders might call your new employer to verify suitably for the six-figure loan, and the overworked HR rep who answers might not instinctively catch on to your whole start date backdating switch-a-ma-rooooo.
