Ah both suggestions look like they will work. The Murata has a output current of 163MA, which is a little low. And the AnyVoltMicro has an output current of 500MA, still too low for my project, but I will have to limit current draw anyway if I want to operate succesfully on solar power and batteries (I plan to operate ultrabright LEDs, so I will look into multiplexing to lower the power consumption).
I will probably go for the AnyVolt Micro, because the Murata is out of stock (and on the other side of the big pond) and because this was in the product description of the Anyvolt:
"AnyVolt Micro is the smaller, lighter and cheaper successor to AnyVolt Mini. It also adds thermal, overcurrent and short circuit protection, making it very hard to kill (like zombies)."
Thanks for looking this up for me!