Keep to main paths when it is wet or you are in cloud... This will mean that you are on the safest possible spot on the mountain and are away from slippery boulders and steep rock faces (a possibly deadly combination). If you are in cloud you must keep to the path and if navigation begins to get hard turn back. It is also a good idea to keep off of ridges for the same reason. If there is over a 50% chance of rain or cloud engulfed peaks its probably a good idea not to go hiking on less well trodden paths as British weather is famously changeable
Camping, maybe not... Camping is a summer activity and since we aren't exactly experiencing (good) summer weather at the moment you may want to think twice about camping on peaks. If you do decide to go camping still be sure to choose a sheltered position or maybe even a cave for an extra aspect of adventure. It may also be a good idea to pack warmer camping gear and make sure that your sleeping bag will keep you warm when the temperature drops below 5°C (most will).
As long as you follow these tips, use your common sense and are alert you should stay as safe as ever and enjoy your hike as much as every other one. Have fun!