Hobart's family bistros are mostly out along the river: the Shoreline at Howrah has an outdoor playground and an indoor playroom with views to Mount Wellington, the Granada at Berriedale has an undercover play area by the bay, and the Carlyle in Derwent Park has won awards for family dining. In South Hobart, the Rivulet Cafe has a fully fenced playground in the bush, open on weekdays.
What follows comes from each venue's own website, with the page linked. Tasmanian weather being what it is, the undercover and indoor play areas are marked as such, so you can pick one for a wet day.
Inner
CAFE · SOUTH HOBART
Rivulet Cafe
The Rivulet Cafe in South Hobart has a fully fenced playground next to the cafe, in bush beside the Hobart Rivulet, and indoor kids' rooms with baby toys and room for prams. A playgroup meets in the playground on Monday to Wednesday mornings. It's open on weekdays only, 8:30am to 3:30pm, with free parking; groups of more than four should book.
Play area Fully fenced playground beside the cafe, plus toy-filled indoor kids' rooms.
Eastern Shore
PUB · HOWRAH
Shoreline Hotel
The Shoreline Hotel at Howrah has an outdoor playground beside its dining room and an indoor playroom, with views across the Derwent to Mount Wellington. Kids' meals come with ice cream and a small soft drink, from $15, there are high chairs, and parking is free. The dining room is open from 9am to 10pm every day.
Play area Outdoor playground beside the dining room plus an indoor playroom.
PUB · LAUDERDALE
Foreshore Hotel
The Foreshore Hotel at Lauderdale has an outdoor kids' play area at its family bistro, about ten minutes from Seven Mile Beach. The bistro is open seven days from noon into the evening, there's parking on site, and tables can be booked on its website.
Play area Outdoor kids' play area next to the family bistro.
CAFE · CAMBRIDGE
Red Square Cafe
Red Square Cafe, a family-owned cafe at The Cambridge Centre on Kennedy Drive, has two separate, secure play areas. It's open every day from 7am on weekdays and 8am on weekends, until 4pm.
Play area Two separate, secure play areas
RESTAURANT · RICHMOND
Puddleduck Vineyard
Puddleduck Vineyard at Richmond has a Kids Zone with a children's playground outdoors, fully fenced and well shaded, with room for bigger kids too, beside a restaurant with deck and alfresco tables by the dam.
Play area Fully fenced, shaded outdoor Kids Zone with children's playground
Northern suburbs
PUB · DERWENT PARK
Carlyle Hotel
The Carlyle Hotel in Derwent Park has an indoor playground at its family bistro, a kids' menu, and awards from the AHA for casual and family dining. It takes table bookings online and has function rooms for birthdays.
Play area Indoor playground at the family bistro.
PUB · BRIGHTON
Brighton Hotel Motel
The Brighton Hotel Motel has a large indoor children's play area in its family dining room, with weekly blackboard specials and two function areas for birthdays. There are family motel rooms too, and parking is easy.
Play area Large indoor children's play area in the family dining room
Glenorchy
PUB · BERRIEDALE
Granada Tavern
The Granada Tavern at Berriedale overlooks the bay and has an undercover kids' play area at its family bistro, so it works in the rain. There's a kids' menu, and the bistro serves lunch and dinner, all day on Fridays and Saturdays.
Play area Undercover kids' play area at the family bistro.
PUB · RISDON
Risdon Brook Hotel
The Risdon Brook Hotel on the East Derwent Highway has an indoor play area for younger children and a $12 kids' menu, with gluten-free and vegetarian options on the main menu. Lunch runs every day with a two-course special, and parking is easy.
Play area Indoor play area for younger children.