Anarkitty I know it's popular to think of Texas as the mother of all gun nations, but if you walked into a Dallas 7-11 with two Desert Eagle handguns on your hip and a revolver in your belt, you'd more likely than not be arrested.
Take a look at Texas Penal Code 46.02 if you don't believe me.
http://www.statutes.legis.state.tx.us/Docs/PE/htm/PE.46.htmPoint is: if you're going to open carry at any time, be prepared to be hassled by the cops. Same applies to Shadowrun as far as I'm concerned.
Carry that legal AR on your back in downtown Seattle, but you better hope your SIN checks out all nice and shiny like. And if you're not broadcasting a (seemingly) valid SIN with (seemingly) valid licenses that match the broadcasting RFID tags on said weapon, your life is about to become somewhat of a mess...
You could probably get away with carrying a Remington 950 sport rifle in rural parts of Snohomish all day every day, on the other hand...
But that's just my view on the setting. I'm fairly agreed with baronspam on his assessment of lifestyle, though I would break it down by security Z through AAA zones in a somewhat similar fashion, as per the revised HTR Response Team table on page 356.
Z-zone (Glow City, Puyallup, or the majority of the Redmond Barrens): Anything goes. But don't look too tough or well armed, or someone's gonna want to steal your shit for themselves...
C-zone (Puyallup City, or Touristville, Redmond): Same as above as the cops only come rolling in if you cause wanton destruction, so exercise minimum caution
B-zone (most of the Auburn (industrial) or Renton (low to mid-level housing) districts): Carrying a concealed weapon is unlikely to get you into trouble, but full body armor and assault rifles with grenade launchers are no longer accepted. Basically, make sure you have licenses for restricted firearms, and don't show off your forbidden ones at all
A-zone (high-end housing in almost all Seattle districts, outskirts of downtown): Carrying openly is no longer an option if you want to remain anonymous. Carry a valid SIN and openly broadcast any concealed carry license for restricted firearms. The combat jacket might need to stay at home depending on the neighbourhood
AA-zone (most of the Bellevue district not owned by the megas, business districts of downtown): Make sure your SIN is of good quality, and your licenses even more so. Dress professionally, meaning jeans and an armored vest is likely to attract attention
AAA-zone (most of central downtown Seattle, and best areas of Bellevue): Business/fashion attire only, no obvious weapons, best SIN (and licenses, if you plan on concealing a weapon) money can buy
That's my view of parts of Seattle, at least. Your mileage may vary depending on location. Keep in mind that places like Neo-Tokyo allows you to carry a katana nearly everywhere, but includes a total ban on all firearms unless your police or military (or megacorporate security), whereas nobody is likely to bother you for open carrying an AR in Bogota cirka 2074, for instance.