My last property, my and DH approached the landlady and asked if we could have a puppy.
She was fine as long as we made good any damage and kept it under control.
We still have the dog, our new landlords don't care, about anything really!
I would say though, in a rental, it is doubly important to make sure your dog is well behaved - doesn't bark incessantly, housetrained etc so the landlord has little reason to change their mind.
I wouldn't feel comfortable with an adult dog, of a breed known to be highly prey driven, around squeaky little Guinea pigs myself.
A puppy you could train yes, not an adult.
And I'd never leave them alone together.
I like staffies more than sight hounds :)
£25 a month, I would prefer a savings account of at least £10,000 though if I could afford it.
Insurance companies are utter A holes, the amount of exclusions is insane, some of the cheaper ones don't allow referrals to good specialists anymore, excess is high on some of them and some vets now insist on payment upfront which you claim back later after insurance companies have refused claims, which rather begs the question, if you can afford the treatment why exactly do you need insurance??
My dog was £150 to buy, £25 per month insurance, she has feelwells homeopathic wormer - about a tenner for at least a year, billy no mates flea herbs £20 something for over a year but I'm thinking of switching to the tincture, raw diet between 40 and 150 per month depending on what I buy and where from.
I wouldn't have an adult rescue with young kids personally.
It's impossible to get a full and honest history as people can and do lie, especially as most rescues won't take dogs with a bite record.
You don't know if it's been disciplined in the past for warning and if it now just bites when it gets too much, if it has been abused by children in the past etc.
I think a lot of rescue's 'assessment' is piss poor and I think it's impossible to accurately guage a dog's personality in a kennel.