Hi, I am very interested in your apartment but I cannot afford 2250 a month, are you willing to come down on the rent? 
Hello there! I would definitely be able to come down a bit on the rent, however I wont be able to budge too much. This bedroom unit is very close to downtown, and prices in this area are very competitive!
If i sighed a year lease and paid for all the rent up front what would you be willing to do? 
Well, annual rent at the list price of 2250 would come out to 27000, but if you would be willing to sign the years lease, I could bring it down to about 25200. It may seem like its not significantly less, but with almost all of the utilities included, the savings would definitely be meaningful, given that there are so few bills left to pay.
Could we make it a round 24k cash payment? Or 2000 a moth and could I bring my cat, Ed? He's very docile and litter trained.
While I dont mind the accomodation of pets (heck, I actually love them!), there would need to be an additional deposit for housing the pets, just in case something did happen. Normally, for a listing like this the deposit would be around 1500, but I could lower the price a bit more, to 24,900 plus an 800$ deposit 
That sounds perfect, works out to $2075 a month so that's what I am offering but I will be paying it all up front plus the pet deposit. 
Sounds good to me. I hope you enjoy the place!