Yes Vince- if you lay them on newspaper in layers (12 each layer) then thats fine for overnight or 2 to 3 days in a fridge. If you want to keep them for longer then a fridge is a must, along with some seawater....
By the way, if storing without a fridge, make sure its somewhere cool away from the heat of the sun or the house..
When you have dug your lugworm put some saltwater in the bucket and swill them round. Be sure not to use water draining from the top of beach - it is often rainwater (=dead worms).
When you get to the top of the beach empty them out and lift the lug out of the sand (be quick- lug dig into sand quite quickly) and put them back in the bucket. Some diggers take a sieve!
Any sand or weedy material should be gently pulled off the lug at this time.
Kept cool they will be OK like this for an hour - but ASAP wrap them loosely in newspaper (non-glossy paper/no coloured inks).
A double wrapping of paper will soak up their juices - do not put split worms in with whole ones (the blood will kill the live ones).
If you spread the worms loosely on the paper and re-wrap them every day, kept cool they will keep a few days.
In winter the garage floor will be cool enough, in summer the fridge or cold box.
Every time you rewrap remove the dead or 'glassy' looking ones.
Keep split, dead and dying worms separately - they may still catch fish.
If you havent access to cooling of any sort (but I assume you have a spade/fork) then you can dig a hole in the ground, a foot or more deep and keep them in newspaper as described above. Untreated sawdust is also good, not too fine. Cover with something obviously.
If you go near supermarkets dont forget - they sell ice by the bag now - a £1 for ice is a good investment for keeping your bait cool - whether your static camping or going for long drives between spots. Wrap up the ice in a couple of bags so it takes a good while to defrost, and make sure if it defrosts that the water wont go onto your worms!
For keeping worms after digging, by far the best method (in addition to the advice about washing above) is to keep them in shallow trays with fresh seawater - again removing dead/near dead ones and wrapping those in newspaper to use as a priority. Sea water should be changed every few days.
For transporting to a venue, and keeping alive in situ, ive found by far the best just to bung them in a bucket with the sea water from the trays in which you were storing them - once at the venue, replace the water every hour or so- depending on how fast it heats up - replace it with water direct from the sea though - rockpool water is low in oxygen and warm, plus it may have rain water in. This method is a bit of a pain as youve got to lug (forgive the pun) around a bucket with water in - but it means any lug you haven't used are still in tip top condition and can be returned to their own tray for the fridge when you get home.
Regards previous post, with lug, the blood isnt poisonous itself - however dead and dieing worms will mean loads and loads of bacteria that will use water oxygen and cause infection in the other worms - wheras rag blood really does seem to be toxic to other rag in itself. Being picky I know, and it amounts to the same thing - always seperate damaged, dead and dieing bait no matter what bait that may be.