lease violation

[Granger Snodgrass]

I have a tenant who is violating his lease and was hoping for some info. The tenants mother has moved in which violates the lease because only the guy living there had signed the lease. (we do have a clause in the lease stating that only the tenant is allowed to live there). At first they said she was visiting but its now clear and they admit that she is living there. She also has a dog which violates the number of pets in the lease agreement. I was wondering if I would be able to void the lease and write a new one. (the tenant already lived there when I bought the property and the lease is pretty weak). Or, if I have to give him the opportunity to rectify the problem. I would prefer a new lease but I'm not sure what my options are.
I was hoping to use a Texas lease and a management company so, am I allowed to just void the lease and take this new avenue? and what happens if the current tenant does not pass parts of the new lease, such as credit issues or something like that? Am I allowed to remove the tenant due to lease violation?