If you chooose these dogs to be your companions, then this is a problem of your creation.
Some folks, by no choice of their own, inherit such situations. For these there must be compassion.
You need to chat with a local, multi-dimensional real estate professional and get on track to BUYING a single family home. They can assesss your situation and direct you to a lender who has a track record of solutions delviered on time, under budget and without all the drama. Yes, you will need to exhibit the deispline to qualify for a morgage. Your situation dictates the time required.
Now, take great care not to create any disturbance where you now live. That could prove catostrophic.
Best of Luck,
It's an unfortunate fact, and I know that, as a landlord, I won't risk losing my insurance over a tenant having a specific type of dog, especially when there is such an overabundance of renters out there. I would also avoid Wellington, as i believe that the town there has a ban on Pit Bulls.
Best of luck to you.