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It's not generally illegal to carry a shotgun or AK in public.

Sure, but like I said Handgun.

If you don't have a CHL it is illegal to walk down your neighborhood block with a handgun let alone a city park.

Also, though it is not illegal to walk down the street with a long gun you are more then likely going to get a visit from law enforcement if you are not part of some type of organized march or don't have a city permit. At least where I live in the highly populated suburbs!

Like I said it doesn’t mean you can’t do it but someone will probably call the police if you are walking in a city park or in a neighborhood.

Keith and Chas have it right on! The only thing I will add because I work out in a city park several times a week is that many city parks have no knife laws. I checked into it and sure enough I can conceal a firearm even though it has the gun buster sign posted but carrying a knife is illegal. Just thought I would mention that. Since many people never think twice about carrying a pocket knife.

Edit: Not all city parks are like this but the park I go to in Houston is, so check your park. I asked a police officer about it and he said the law was created because many of the homeless guys in the city parks carried knives since most can't afford guns. The gun buster signs are really so silly anyways. It doesn't matter if it is a park or not. If you don't have a CHL it is illegal to walk down your neighborhood block with a handgun let alone a city park. It is just one more charge to throw at you if they catch you in a crime and don't have a chl.