Consider all the things that could go wrong and see if the lease addresses them: unauthorized pets or tenants, early termination, security deposit, lease violations, late rent, eviction, lawn maintenance, parking, etc.5.

If they've changed the utilities, so they aren't in their name and moved their stuff out; tell them it is clear that they've moved out and they need to remove their pets. 

I'm going to allow pet any size.

Needless to say we will not be buying the home and now they have been so dishonest that who knows if we will even get our $3000 and $300 pet deposit back!!!

This does not include pet fees if you choose to accept pets. 

However, for long term real estate investment you don't really need that most of the time.One last point which I guess is something of a pet peeve of mine. 

Think of all the things that could go wrong and see if the lease addresses them: unauthorized pets or tenants, early termination, security deposit, lease violations, late rent, eviction, lawn maintenance, parking, etc.5.

If you want to use your own lease and change the terms (like add no smoking, no pets) and request last month and a security deposit and/or go month to month to a year long lease and/or raise then rent, you can offer her a new lease under such and such terms.

Consider all the things that could go wrong and see if the lease addresses them: unauthorized pets or tenants, early termination, security deposit, lease violations, late rent, eviction, lawn maintenance, parking, etc.5.

The other common thing is travelers will post a picture of themselves (and usually their pet) and say 'I have a contract starting X date in X city and am looking for something in X price range that is pet friendly.