Hi Fionola, I think you've asked some very pertinent questions about children and shopping.
Yes, I'm sure children find long periods of shopping extremely boring. My 2 year old looks daggers at me as soon as I wheel him into a clothes shop.
I my case I have very little shopping time alone. I work full time - and well away from any major shopping centre. Supermarket shoping I do alone in my lunch hour or very quickly on my way back form work. My early evenings are spent getting my two children to bed. My first free weekday time it after 9.00. If only Bluewater or the West End shops were open to the early hours of the morning! Every now and again I would love a spot of late, late, night shopping. In my dreams...
So that leaves me with the weekend for major clothes shopping etc. I don't spend lots of time shopping (havn't got unlimited funds!) but when I do need something, I have made a point of taking both my children with me - I feel we spend so much of the week apart, that I couldn't justify not seeing them for long stretches of the weekend. I also feel that they need to realise that not all the activites we do are centered around them.
Bluewater scores highly in one area. My 7 year old son is very partial to the playclub there - they have a fine array of computers. So he's happy to be left there for a few hours - and then he joins me later.
However, I'm a West End girl at heart so I do like to take them to the 'big shops up town'. Yes, it's boring for them at times, but we make a bargain in advance: I'm 'allowed' to go to three shops, but then we have a look in Hamleys, go to a favouite cafe, even pop into a museum etc whatever we agree on. (I also make a point of doing free or cheap things with them as much as I can, so they are not being given large bribes. We will agree to look in a toy shop, but not to inevitably buy something from it. I say to my son looking is good for birthday present ideas). Then it's my turn again for, say, another two shops - and so we go on. My 7 year old keeps a very strict count!
As for getting toddlers out of buggies, I'm amazed and very impressed that you can go shopping with a two year old minus a buggy. I could attempt this with one or two small shops but then my nerves would fail me, especially if I had to get money out of my bag while holding onto my toddler's hand. So instead I sometimes push the empty buggy with one hand, and hold my toddlers hand, so he can walk alongside me for a while. Also I have a another child to think about. There's no way I could say good bye to my buggy for long periods, and safely look after them both.
However, I do feel that it's very easy to let toddlers sit for too long in buggies, munching away at trash to keep them quiet. So I try to add a park visit onto a shopping trip. Bluewater has a good outdoor playground. A major pity they don't have a soft indoor play area to use when the weather is bad. And in the West End, Covent Garden is pretty good for some general running around and there's always the brilliant playground at Kensington Gardens.
Anyway, I hope this rambling reply answers some of your questions, Fionula!