My husband or I (we alternate) has walked our kid to and from school every day from K-2 (our district allows them to start walking solo at 3rd) grade. We're 1/3 mile from school, and it does build community/connections. Especially in the afternoons when you're stuck hanging around waiting for the kids to be released...
For us, it's quicker to walk than to drive. We also live in a reasonably mild climate and it's a pleasant enough walk and we have just the one kid. So.
And I'd taking walking my kid to school over baking my own bread every time, I have no interest in baking my own bread.
But I'll throw the dog in the car and drive him to where I can let him be off leash rather than walk him on leash.
Walk quality matters to me. It sounds like it (or workout quality, maybe) matters to you. And, yes, putting a kid in the car and driving them somewhere can be much, much easier than walking with them somewhere (obviously, more kids only makes this more true), as with the car, you control the pace and direction (within what's legal) and aren't stopping to admire butterflies, or ...
Not that there's anything wrong with admiring butterflies! I'm a big fan of admiring butterflies (particularly with my kid). But that doesn't mean I don't appreciate the value of just getting somewhere.
(And to be honest, I do not confuse the fact that I adore my kid and love spending time with him, with the thought that that means I want to spend every moment with him, or as many moments as feasible, even just the wonderful moments. I don't (anymore than I want to spend every waking moment with my husband, or anyone else for that matter). Some parents seem to, and more power to them, but I value some adult time, and yes, alone time, something that can be preciously scarce with even just one kid, let alone 3).
All of which is a circuitous way of saying ... figure out what works for you, and do that (and it can include a range of possibilities, not just one single approach). I do think the idea of summer practice (our school has great playgrounds, and we do walk up there just for fun and have since DS was tiny) is a good one, and also that it may be harder to get the kids to walk if they know the car is an option, so you may want to factor those things into your planning.
Congrats on finding a home where walking's an option.