The pub that doesn't allow kids or dogs sounds fantastic to me. I've raised my kids (they come to the pub as adults with me), I want to go to a pub and be amongst adults. I just wouldn't choose a 'family orientated' pub to have sunday lunch in. Or to go gossip with my friends, or have a date with my husband. I don't think it unreasonable that some places are kept just for adults, much as soft play is just for kids.
And I can tell those who have never worked in hospitality who are suggesting the staff should be keeping the kids in check. These people are paid minimum wage. Have you ever tried working your job whilst childminding for free? Or suggesting to the parents that their oh so cute 3 year old should perhaps remain at the table instead of running behind the bar, tripping people up, wiping their snotty noses on the soft furnishing... (yes, the same applies to dogs). That is the parents job, not the bar staff.
There are ways, if you're skilled wait staff, if managing scenarios, but frankly, there are many times it's not worth it. Plus generally waiting staff are young, with no experience, it's unfair to expect them to manage a situation the adults in the room clearly can't.