This could be a challenge. Are you looking to purchase a property within a few months.
You might look into a short term boarding situation for your dog as pit bulls do fall into the category of breeds that are often exclude from lease property.
Your best strategy would be to purchase a home in a shorter time frame than expected in order to have your dog living with you sooner. I do have two condo properties currently that are open to short term leases if tenants agrees to sale showing after the second month.
The home inventory is low, but an aggressive agent with a focused buyer can get it done quickly, even before or as you relocate to Charlotte in 6 weeks. That's our job.