Bikes would be good bingo. I've read The Stand many times. It's been my go-to survivalist manual for a post-apocalyptic world for more than 30 years.
I am very wobbly but I'm sure I could master it with no traffic around. I think I'd be safer on a push bike than a motorbike and you could easily outpace walkers and dodge around obstacles like crashed cars.
The only thing is that I'd be fine in my home county of Essex, because it's so flat. I'd be dead if the ZA hit while we were visiting MIL in Somerset. I'd never manage to get up the hills and I'd probably kill myself careering down them.
Where I live is crap in survivalist terms. There's one very practical store - a Leyland Paints - in two minutes' walk, but it is very small. I'm very good friends with the butcher, fishmonger and shoe mender who have impressive weapons, so if it all went down on a market day - Thurs to Sat - I could rely on them but if it was early in the week... The blokes on the veg stall don't have weapons that I know of but they're very fierce and look like the kind of people who'd have things under the counter for slicing up watermelons 
.
Sadly though there are too many people round here so it would be overrun by Walkers and quite a lot of survivors competing for food. Many of them would be these people.
Red-trousered walkers would be only slightly dimmer than the living variety but the live ones would be as sharp-elbowed as ever and not to be trusted.
There's a Sainsbury's Market, so not a superstore, a Little Waitrose, a frankly rubbish Tesco, a M&S with a food dept, a M&S Simply Food, a Morrisons Local and a few other Tesco and Sainsbury's mini outlets. There's a smallish proper Waitrose about a mile away in an incredibly posh area. I'd go there just for the joy of spiking obscenely rich Walker women I see wandering round there in diamonds, heavy make up and Shirley Bassey-type turbans buying gin and Kettle Chips.
M&S Simply Food doesn't really have enough tinned stuff. A standard supermarket would be better. I'd have panniers to carry it - I bet they do them in Halfords. I'd get a big torch there too to light the way and as a weapon - in the Godfather book an enormous police-issue torch is the weapon of choice for one of the characters.