The terms of the lease are generally going to prevail on this matter. An eviction notice does not necessarily mean they have to cooperate with you finding a new home or apartment, it just means they want you to leave or they will file a lawsuit to have you removed. Keeping a rental history clean is an important matter, and paying your lease obligations is also an important matter. Sometimes an order for eviction can also include an order for damages (the kind described in the lease) and court costs. I would suggest caution and taking your lease, the eviction notice, and any other letters you may have from the apartment manager in to an attorney as soon as possible to resolve this. If cost of an attorney is an issue, maybe look into Legal Aid of NorthWest Texas. But generally, a consultation with an attorney on this matter should not be too expensive.