The bulbs will come up through other plants in spring, the challenge with the perennials you have mentioned is they are likely to swamp the bulbs out. A lot of folk use winter bedding in their containers which then comes out when the bulbs are in flower. The containers will need to be in the sun in spring or the bulbs won't do well.

You could plant with summer flowering ground-cover perennials such as Allysum or Thrift. The shruby stuff that you mention would look untidy with the bulbs growing through it.

The snowdrops would probably be OK in the shade but if you have planted bulbs be prepared to be underwhelmed the first year - they do much better when planted just after flowering when they still have their leaves. Tulips and violas make a nice combination - the violas will have a longer flowering period than the tulips. Primroses and small daffodils work well too.

Sorry Stera I disagree Rblundred should have a nice show of bulbs next year… This whole 'plant snowdrops in the green' drives me up the wall… to do so you need to dig the bulbs up when they are still being fed by the leaves so they loose all the food for the following year.