I never use my table for food prep or baking but I am tallish so it would be too low for me! Have you got somewhere else you can put a table to eat at? If so, might be best solution if you are tight for space. Could you design the worktop so you can use it as a breakfast bar?
I don't have a table in the kitchen as it's small and use the worktop for food prep and baking with the kids (they stand on a small stool), mind you I don't use the table at my mums for the same (nor does she) and her kitchen's huge with a giant table!
My table is in the living room - and if I didn't have the space there for a table I'd have a fold down one in the kitchen as I wouldn't be without a table in the house
My mum used to have a roll out table thing that looked like a normal kitchen drawer and then pulled out to give you a long, thin table that sat 4. Never seen one anywhere else but it was brilliant, it was used for all over the years. No idea where it came from but worth asking your designer about. Hope that helps.
I have never had a table in the kitchen and have managed perfectly well for 20+ years. Thinking about it, we never had a table in the kitchen when I was a child either- make that 40+ years I use the worktops.
We don't have a table and admittedly it is more of a pain now that dd1 is getting older and wants to help out, I have to do things like mix cakes in bowls on te floor... she has a little step that we use when she wants to see what I'm doing. But basically we get on fine without a kitchen table.
Then again, our old kitchen before we had it redesigned also had 3 doors like yours (to lounge, bathroom and outside) and previous people had put in a foldy down table on the wall - all very well, but it blocked the back door so you couldn't actually get out to the garden
Breakfast bars never used? My kids practically sleep at ours. We have a huge refectory table in an open plan kitchen diner but they still prefer to eat sat at stools at the breakfast bar. And DP reads his paper there, and I prep food there. In fact I just prepared dinner on top of his Sunday paper, cos I'd run out of space. Didn't occur to me to prep it at the massive table. (Or to move the paper) (Not literally on top of it. Put a chopping board on it first...)
I'm with racingheart - we have a big, wide breakfast bar with room for food prep on one side and stools on the other side. It get used for everything from eating meals, to food preparation, to arts and crafts, and I'm sitting at it now with my laptop. I wouldn't be without it!