Hey River - how old are your kids and where are you staying? A few top tips:
Ilfracombe for a day out to see Verity, ride the land train, see the harbour, take a boat trip, see tunnels beach. Food here is amazing - try the Gendarmerie, Olive Room, Espresso for great dinners or Maddys fish n chip shop for a cracking meal.
Woolacombe/Putsborough/Croyde/ Saunton for beautiful sandy beaches. Sandleigh tea rooms in Croyde for a lovely cuppa or lunch with gorgeous gift shop. Parking at beaches is pretty pricey esp Puts and Saunton (around £7).
Lynton and Lynmouth for a good day out by the sea, has a funicular railway to get up the hill. The Rising Sun pub does great grub.
Learn to surf - can highly recommend Barefoot Surfschool.
Tarka Trail is good for getting on your bike - everywhere else is pretty hilly esp with kids
Days out to attractions - good ones are Milky Way/Big Sheep. Water mouth Castle is good with smaller kids. There is an indoor skate arena at Mullacott near Ilfracombe which is proving to be a good hit. Petorama at Stowford Meadow campsite is fun for the kids, they get to see and hold lots of animals. Exmoor Zoo and Combe Martin Wildlife Park are ok too but animals don't always look the happiest.
Good walks include Baggy Point, any of the beaches - Crow Point near Braunton is stunning - river to estuary, over sand dunes to the sea. Always quiet even on the hottest days.
Braunton is good for surf shopping - Squires Fish and Chip shop is renowned for being the best (although I prefer Maddy's in Ilfracombe, I am regularly laughed at for this though). Riverside restaurant in Braunton has a great relaxed vibe with super food and lots of healthy options.
Kings Arms pub in Georgeham does good pub food with a welcoming local feel to it.
There is also 'the other side of the river" as we call it - Bideford and Westward Ho! way. My knowledge of over there is not as great but it's very pretty and close to the Big Sheep and Milky Way.
If I can think of any more I'll let you know.
Happy holidays - it really is a great place, but I'm biased