Try the Tarka Trail - the cycleway begins at Meeth Halt, about 9 miles from the cottage and lodges, and gives you 32 miles of easy, fairly flat, traffic-free cycle path. You could take your bikes on the train from Eggesford to Barnstaple and bike back (last 9 miles will be on roads). Or hire bikes along the trail and do a section: Barnstaple to Fremington, Fremington to Instow, Puffing Billy to the lovely Cafe at Yarde Orchard. All these sections are accessible by bus or car, and have cycle hire available at one end or the other, and are great for less experienced cyclists. Ask us if you want more detail. If you need inspiration along the way, there are 30 works of art on the Tarka Trail between Barnstaple and Okehampton, including 3 green oak benches between Meeth and Petrockstowe on the cycleway, several mosaic benches between Petrockstowe and East Yarde, and a bench depicting the history of the Rolle Canal at Weare Giffard. Between Instow and Barnstaple, two of the artworks are shelters - the one at Isley Marsh has been made using traditional boat building techniques.
Bike out to Halsdon Nature Reserve and look for otters at the riverside wildlife hide (some main roads - for competent cyclists).
Bike in to the Kings Arms in Winkleigh and relax with a pint - maybe make it cider from Winkleigh's own cider works!
More exhilarating off-road cycling
There's a marked cycle route through the Heywood section of Eggesford Forest, managed by the Forestry Commission, and just 4 miles from your holiday accommodation. It's an exhilarating ride, following tracks and bridleways, but isn't suitable for wobbly riders! To get there by bike or car from the cottage or lodges, turn right out of the drive, right at Tinkers Post crossroads and keep right at Lane End. When you get to Wembworthy turn left through the village. The next T junction is Spekes Cross. Once past Spekes Cross, take the next left and follow this narrow road to Heywood. Look out for the forestry commission's signs.
The Granite Way
From Okehampton to Lake Viaduct (about 6 miles or 9 km) you can cycle entirely off the roads on the Granite Way, part of Devon's coast to coast cycle route, and national cycle network number 27.
Start at Okehampton station (about 11 miles from the cottage and lodges). After 2.5 miles (3.7km) you'll reach Meldon Viaduct, where there's a station cafe in an old buffet carriage.
Carrying on, you can ride another 3.5 miles (5.25km), all off road to Lake Viaduct, with its spectacular views of the moor. From here, you can continue off road to the Southerley Halt picnic site (another mile), then retrace your tracks to Lake Viaduct.
The Granite Way plus quiet roads
Alternatively, from Lake Viaduct, you can rejoin the road to the former Bridestowe station (2 miles, 3.5km) and then pick up another traffic free cycleway to Lydford (1.25 miles, 2km). The road sections are quiet, but you have to cross the A386 as you set off. At Lydford you're very close to the National Trust's Lydford Gorge - with an exciting walk to one of the highest waterfalls in England.
Other cycle routes around Devon's quiet lanes
The circular 29 mile Sticklepath Cycle Route normally begins and ends at the National Trust's Finch Foundry (nice tea room!) at Sticklepath (13 miles from your holiday accommodation), but it passes through Honeychurch, just 5 miles from the cottage and lodges. You'll ride along Devon's quiet country lanes, up to Monkokehampton and on to Deckport Cross, where you can take a shortcut (to Jacobstowe) or continue on to Hatherleigh, then cycle to Jacobstowe, ride through Abbeyford Woods (on the Tarka Trail), turn north for a short stretch just before Okehampton, before jogging back south to Belstone and heading east back through Skaigh to Sticklepath, then South Zeal, Sampford Courtney, and back to Honeychurch. Many places along the way have historic or heritage interest, and of course there are wonderful Dartmoor views.
There's also a linking route, the Mid Torridge Cycle Link, between the Tarka Trail (at Petrockstowe), and the Sticklepath Cycle Route (at Hatherleigh). This link completes the north-south route from the start of the Tarka Trail in Braunton, all the way to Dartmoor. The villages of Petrockstowe and Sheepwash are a feature of this linking section, with traditional cob walled, thatched cottages.
The Okehampton and Hatherleigh Circuit starts from Fore Street in Okehampton, following the National Cycle Network's route 27 to Hatherleigh, then cutting back through Folly Gate, rejoining the NCN27 at Goldburn Cross and looping back to Okehampton. This moderate ride (not difficult, but less experienced riders may want to take their time) takes in 20 miles of fabulous Devon countryside. You'll pass close to Okehampton Castle (an English Heritage site) and Hatherleigh Pottery. In Jacobstowe you can stop off to admire the medieval church or the mill near the River Okement. Don't forget to catch your breath before the view across Dartmoor takes it away again atop Hatherleigh Moor!