Dahlias and agapanthus

Hi all,

Was looking at Sarah Raven's website and she leaves dahlia tubers in the ground over winter or puts in large pots in the greenhouse.

As I'm in Scotland (and didn't want to chance storing bare tubers) I've dug up my tubers and put into large pots of compost. I've put these in the greenhouse on slabs of polystyrene, wrapped in bubble wrap and covered in straw. Do you think this is ok or do I need to protect them further?

I've also done the same with my agapanthus, it's supposed to be hardy but some sites say they're not, so I'm not taking any chances. Does this sound ok too?

Any advice greatly appreciated 

Diddy xx

My agapanthus has survived in the garden for three winters now and it flowered this year for the first time. It's in a planter in a sheltered corner of the back garden.  Fingers crossed for this winter.
I have been death to all dahlias every year, I just treat them as annuals.