House Offer Accepted...Now What?

We were informed today that our house offer was accepted in a record breaking 10 days!!!  We were told that a short sale could take from 6-12 months to go through...boy were we fooled!!  So now on to the 25 day cram everything into it and get it all approved process.  We have 25 days to make sure our loan is taken care of and approved, get the house appraised (hopefully it appraises for what we offered or even better, more than we offered), and get the inspection done.  The last two items are the ones I am most worried about.  If the house doesn't appraise for what we offered then we would have to see if they will lower the price or walk away.  And the inspection, who knows how that could go.  The house was built in 1974 and needs A LOT of work on the inside so hopefully that doesn't equate to A LOT of work everywhere else.  I feel like this is a little to good to be true but that is the pessimist in me coming out.  I LOVE this house and want it so bad.