Don't buy a helmet designed in a cool or cold climate when you live in a warm one.
The thing about helmets that is seldom brought up is comfort in the heat. In California it gets hot. A helmet like the Bern and similar 'urban' helmets have poor ventilation. I used one like it until I switched to a Bell that had a ton of air vents and then oh. My. God. what a difference in comfort. And when I am talking about comfort its no small matter to be baking your brain in a bucket when its 100+ fahrenheit in the shade, versus something made with ventilation in mind. A helmet you put in your pack because its too hot to use it is less effective.
I wear a circa-2017 Bell Super 3R, and I have a Bell Super Downhill, both with removable chin guards that I never remove. But I also have a more recent Super Air (also with a removable chin guard) that is both light weight and very protective. It is as light as the Super 3R but has the inner MIPS-functional protective shell - not just a plastic membrane - of the Super Downhill. the 'Air' part of the name gives you an idea Bell took ventilation seriously.
As to bike pumps, do yourself a big fat favor and step up to the modern alternative: The portable air compressor. They are cheaper in fact than a quality hand pump (I own multiple Lezyne XL and road pumps) and if you buy the right one, its got enough battery power in it so its not possible for you to run out.
I use the two CycPlus models I linked and described here. The smaller and more expensive one is my preference (that figures) but functionally I have not yet been able to screw up the bigger, lighter, cheaper one. And they have enormous batteries versus competing models. Recently I found my rear tubeless fat tire on my Big Fat Dummy was totally flat. I connected the pump and it took it to my desired 17 psi with battery to spare. The tire was a Vee Snowshoe XL so its a monster 26x4.7.
In the last few months, I’ve made a few changes to my standard on-bike tool kits. Lets take a look.
talesontwowheels.com
Linked at the same site is a pump that never runs out either as it connects to the ebike battery, but time has moved forward and the little portable ones can be relied upon now, if you pick smart.
EDIT: Also something to think about on helmets: I bought a Super Air R which has the chin guard. Its a $300 helmet. I paid $190. When you find a helmet you like, click around on all the different colors. Chances are one of them didn't sell well and is discounted. On Amazon right now, the Super Air (no 'R') in my size is $235, but the maroon one is $164. the blue Hi Viz is
$139. Same helmet, discontinued color.