I can empathise. ds is nearly 19 mo and though he is very cheerful it is taking forever to leave the house, get coat on etc etc. worse when we're I'm in a rush of course(ds obviously never in a rush unless it is to get his milk or snack out of my hand!)
ignoring (ie pretending to ignore because it is virtually impossible to actually ignore) is good. when we have to go somewhere, if it's possible to walk then we do - ds also fidgets in buggy so we set off with him walking and on reins if necessary and me pushing the buggy, then when he's had enough he can get in. exhausting them is a good strategy. I think from this age on they suddenly need much more attention, lots more getting down on the floor, lots more strategies from us to allow enough time, to give them another few minutes after we've said we'll go.
I've started giving ds "3" - ie say we're going, you have 3, then hold up 3 fingers, count down slowly 3 .. 2 ..1 - last finger is crooked at him and he thinks it's a game and comes running.
I give him as many tasks as possible - either finding his shoes etc if we're going out, or just things like a box full of bits and bobs - corks, big buttons etc and asking him to put them into another box. VERY helpful indeed, he thinks he's doing something really important! he helps with the washing, getting stuff out of the machine one item at a time, but that is genuinely helpful as I can then shake out and hang up or bung each thing in the dryer.
nappy changing also a horrendous battle, usually when dirty and he squirms and kicks, which I loathe because I do NOT want poo everywhere. new thing is to either ask him to find a toy that HE wants (no good if I choose it) to take to the changing mat, or if we're on the changing table I let him stand up and rootle through the baskets on the shelf above the table. means I get a full-on view of pooey bum but has made changing him so much easier as he's occupied and not trying to get away so it's worth it.
It is not easy but I reckon it's all about having to relax and try to do things at toddler speed - so perhaps don't bust a gut to get to a playgroup but meander in your own time down to the playground or park - then the dcs get to walk for as long as they want and they will be interested and occupied in whatever they are doing - but frustrated if they are harried and bundled away instead.
you can tell I am relaxed right now but then ds has been at nursery - try me again tomorrow when I've had him all day and perhaps I will be tearing my hair out too!