Hi,
As mentioned plenty of times on this forum and probably others as well, that 'generally' UK houses for any given style and price range are smaller, sometimes significantly.
Also, as per usual, there's all sorts of different sized properties here in each type too. You might end up with what's known as 'spacious' in a property you end up buying or renting. The problem there is what's one 'estate agents' idea of spacious is often not what someone else thinks !
Many here who've made the move over and may have come from 'average' or 'a little above average' sized US houses have adjusted 'relatively' easily. Your situation is that you have two kids as well, so I suspect you'll want what'll perhaps be a large(r) UK property so that you don't have to compromise too much.
The area you look to buy/rent in along with your budget will play the biggest part of your evaluations. There's plenty of properties that are average here which do have a larger fridge and washing machine and dryer and also good amounts of storage space.
I recently posted about my own house, I live with family so we're one unit and after all our renovations, extensions, re-decorating etc, we've ended up with 'around' 3000 sq ft, 7 bedrooms (all but smallest one can have a double bed) with the option of 3 more rooms being used as bedrooms. We've been clever with using as much space as possible for storage i.e we have a lot! A main lounge, along with a second one which we use as a family/play room for my nephew and soon also my niece as she grows. The annexe has another living room and my bedroom too.
I'd guess that if we rented this whole property out, we'd get perhaps £1500/month for it. There's many UKY members who pay that level and considerably more for a 2 bedroom flat in many areas of London! Id' also guess that in many places around the UK, this same kind of property with the Sq Ft we have would rent for at least a few hundred less.
'ideally' for our family, we'd need another 1500,2500 sq ft of livable space. I know that many others want as small and cozy as possible for their 'situation' and even with kids. Many members on here have compromised to a level they're comfortable with for adapting into a smaller property, other's might have compromised more and others less.
I'd suggest you look at your budget, then see what that gets you in the area you may want to move to / live. Only you can decide what lifestyle aspects you love and cannot/won't give up or compromise on and which you don't mind losing/cutting/reducing etc
Cheers, DtM! West London & Slough UK!