Multi purpose feeds with killers

Yes, they will probably kill them. Or at least, won't do them any good at all.

Bulbs in a lawn are a tricky one, and they generally don't mix. This is because you need to let bulbs stay in leaf for a good long time after flowering to build up their food supplies for next year. This means not mowing the lawn until June / July, which is not ideal for most people. So you should either leave it alone and not mow it (i.e. a dedicated bulb area) or just have a lawn with no bulbs.

If you must feed the lawn with the bulbs in, just use a lawn fertiliser without weed killer in.