It could be anything, but to answer your question - yes, seller can say "no pets". Pets can make a home harder to sell. Some people are allergic to pet dander and have a reaction even after the pets are gone and the house has been thoroughly cleaned - some pets cause damage (like dogs that chew on every piece of wood). As for the financing "hassle" - basically, sellers want to sell their homes, that's why they put them on the market - they don't really want to lease or rent them out. So if someone makes a lease-purchase offer, that's better to the seller than getting no offer, but it's not really the offer they were looking for. The seller, and seller's realtor, are trying to protect the interest of the seller - the only way they want a lease-purchase is if they know the person will follow through with the purchase - that's why they want a larger amount of money that would be forfeited in the event of not following through with the purchase. I've seen a lot of lease-purchase deals fall through -- the potential buyer never manages to get their financing in order and eventually can't afford the lease/rent payments either, and the seller ends up with no sale and repair expenses due to (excessive) wear and tear on the property.