From TheFacts.com:

City Council already has decided it wants to ban rottweilers and pit bulls from the city limits, but it has not decided what to do with animals already there as family pets.

At a meeting last week, West Columbia City Council instructed City Attorney Wes Griggs to draft an ordinance banning the dogs. Council still has to decide whether to let animals already there stay, and if so, for how long.

Read this article in its entirety here.

Breed-specific legislation on the municipal level is forbidden by Texas state law:

§ 822.047. LOCAL REGULATION OF DANGEROUS DOGS. A county or municipality may place additional requirements or restrictions on dangerous dogs if the requirements or restrictions:

(1) are not specific to one breed or several breeds of dogs; and
(2) are more stringent than restrictions provided by this subchapter.

Added by Acts 1991, 72nd Leg., ch. 916, § 1, eff. Sept. 1, 1991.
(http://tlo2.tlc.state.tx.us/statutes/docs/HS/content/htm/hs.010.00.000822.00.ht\
m#822.047.00)

Please contact the West Columbia, Texas Mayor and City Council here and politely inform them that breed bans in Texas are prohibited, and that breed-specific legislation (BSL) on its own is unenforceable and ineffective.