Thankfully, on the MTBs I run tubeless so my flats have been ZERO in the last year off-road. Which is really good, as my Safire is a bit of a pain to reinstall the rear tire. The rear pivot point on the chainstay is kinda thick and right next to the cogs and it makes it rather difficult to get the wheel back on. Chain is not an issue.
On the road bike it's a no brainer; I've been fixing flats since I was a kid. I use USE Spin Stix so I just unscrew the skewer and the wheel pops right off. I only use those patch kits with the vulcanizing rubber and sandpaper- none of that crap peel and stick stuff, so the patched tube is good as new and I won't be dealing with dried glue and leaking patches down the road.
Tzvia- rollin' slow...
Specialized Ruby Expert/mens Bontrager Inform RXL
Specialized SWorks Safire/mens Bontrager Inform RL
Giant Anthem-W XT-XTR/mens Bontrager Inform RXL
Fuji Newest 3 commuter/mens Bontrager Inform RL
Novara E.T.A commuter/mens Bontrager Inform RL