There used to be a Lincoln ordinance banning firearms in parks, but I can not seem to find it now. Regardless, with the passage of the new state law prohibiting cities/towns from having laws more restrictive than state CCW law, the Lincoln ordinance would be null and void for CHP holders.
Fly
The ordinance is still there, and would be null and void for CHP holders, but I don't think that will stop them from trying to post no weapons signs in the parks
12.08.200 Weapons Prohibited in Parks.
(a) It shall be unlawful for any person to possess or discharge, or cause to be discharged, within any park, any firearm, including, but not limited to, any pistol, revolver, shotgun, or rifle.
(b) It shall be unlawful for any person to possess or discharge, or cause to be discharged, within any park, any air rifle, bow and arrow, crossbow, toy pistol, toy gun, slingshot, or any other air, gas, manually operated or spring operated gun, weapon, apparatus, or instrument designed or intended to be used for the purpose of throwing or projecting missiles of any kind by any means whatsoever, whether the instrument is called by any name set forth above or by any other name.
(c) Notwithstanding the foregoing, the Director of the Parks and Recreation Department
may designate areas in certain parks and park facilities to allow various organized programs to engage in the activities described herein.
(d) The provisions of subsections (a) and (b) of this section shall not apply to duly
authorized Parks and Recreation Department employees or law enforcement officers acting in the course of their duty. (Ord. 17365 §1; June 29, 1998: P.C. § 12.08.120: Ord. 12600 § 1; June 25, 1979: Ord. 10868 § 1; July 23, 1973: Ord. 3489 § 30-112, as amended by Ord. 5775; July 12, 1954).