what to plant when my bluebells die down

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we moved house about 6 months ago and are finally working on the garden, which was full of weeds.
luckily i didn't dig up some little shoots which turned into a lovely display of bluebell type flowers,which i think have been there for years, but what shall i do when these die back as this area will be totally empty and quickly over run with weeds again.
Can anybody help? what are my options? thanks!

Bumping and watching with interest..useless gardner here!

I can't get rid of white Spanish-type bluebells, so am gradually adding pansies and violas from other parts of garden to naturalise here, as they will grow in this poor soil. There is a useful groundcover plant nearby (Snow-in-Summer)
which we are also encouraging to grow and take over from the bluebells, plus we keep adding clumps of the osteospermum, also v.easy grower which continues until frost.

The bluebells will die back and go disgustingly slimy - at that stage (or just before, preferably) I remove the leaves. Then I put in annual bedding. I've also put easy plants that come up every year nearby so they add interest soon after the bluebells die back - alchemilla mollis and London Pride for example.

You have to take the bulbs out if you want to get rid of bluebells altogether but I just try to contain them.