oh Badger, sounds very similar to us! a couple more things, in that case....
re fold - I often have so much crap stuff wedged in the basket I don't want to fold it anyway - I keep it "packed" with raincover, sling, nappy stuff, change of clothes for DD. I think this is pretty standard practice for city dwellers who don't have / use car and get out and about every day (ie the basket is pretty much my nappy bag, it's not big enough to pack a bag and then try to wedge that in, I just use this, which is brilliant). and I would say the Bee is so compact it's hardly worth folding it, unless you have a car (fits easily into my mum's 3 door polo boot, which is v small, but you wouldn't get much else in; fits very very easily into my brother's 5 door golf, along with a tonne of other stuff). The cocoon comes off and goes on incredibly easily, it just sits on the seat with the straps through. the rest of the fold is easy but two handed.
I generally take DD into the house, deposit in cot, then come back for buggy, just for maximum safety. though have carried her and pram into house no probs when she's asleep (she usually wakes up three seconds later, the minx!) and DH carries her + Bee + aforementioned basketful of crap up and down flights of stairs for the tube no bother (and he is no rugby player!)
other plus: when using the cocoon, there's a handy quite big space behind the baby's head ie above the top of the cocoon, below the hood, perfect for stashing toys, gloves, a muslin!
all in all I was swayed by what a nice man in John Lewis told me, which is that he sees the same people who buy travel systems come back 6 months later for a MacLaren. but the Bee will take you all the way through. I agonised and agonised over pram so believe me, I understand (finally bought a Bee when I was 5 days overdue!!), it took a long time to let go of wanting the 'best' thing, something maximally cosy and robust for DC (was hankering for uppababy vista) but do think made the right choice for us, especially when I see people with virtually anything else struggling to get into any coffee shop, for example. and fwiw she seems to like it. again, my only complaint is it's oddly low down, and I'm not tall....if you are, I would consider that. now she is three months we're interacting fine at the distance, think her vision has lengthened significantly!
HTH, will stop harping on now