Of course, you should always get what you like and forget about which kitchen others think is the best. You're going to have to live with it, but you asked about experiences with integrated units so here goes.
Our kitchen was new 22 years ago, and yes, we old farts still have it. It came in the spec for the house (new build).
In the kitchen, the dishwasher, the fridge, and the freezer are built in to the cabinets, and have matching exteriors to the rest of the cabinetry. The fridge and freezer units are both fairly good sized. Never had a problem with either, or the doors/hinges. The dishwasher has been replaced with a like unit, but no problems with the exterior panels or bottom hinge.
The adjacent utility room also has a fairly large range of matching cabinetry, with a second sink. The washer and dryer are under counter type units. There is also a second American style fridge/freezer (yes, we're wasteful and stock far too much). We've had American guests wander around the kitchen and wonder why we have so much cabinet space, but no fridge/freezer in the kitchen, until they realise what the large cabinet doors in the kitchen are for.
The wife has been hinting......, and after writing this comment, there will probably be a new strange sound coming from the kitchen in the near future as a 22 year old appliance gives up the ghost. Thanks for that.
I notice the new
Smallbone kitchens now have the fridge and freezer still built in, but the exteriors are exposed and do not match the cabinetry.
http://www.smallbone.co.uk/collections/kitchens/oakFor reference, the dishwasher, kitchen fridge and kitchen freezer are Bosch, the washer and dryer are Miele. Both the washer and dryer have been replaced (dryer is a condenser type).