I take it you haven't got a hanging bird feeder then, just a bird table? Wood pigeons can't feed from hanging feeders. (nor can robins or blackbirds as it happens).
I can't recommend enough a hanging bird feeder with a mixture of flutter butter, a hanging half coconut shell with seeds in fat and most importantly a hanging fillable mesh feeder with sunflower hearts (shelled sunflower seeds, they are beige not the black stripy sunflower seeds). I guarantee you'll have lots of smaller birds coming for the sunflower hearts, they love them more than any other seed or nut I've tried. Having said that the suet pellets were popular(ash) but not as popular as the sunflower hearts. You can buy huge bags that last for months, online.
If you put peanuts out, please put them through the blender to crunch them up a bit first (I do this then put them in a large sealable plastic bag). Whole peanuts I believe can pose a choking risk to fledglings.
Also check that the seeds slide easily through the mesh bird feeder you choose. Small birds like to be quick in and out, which is why I think they prefer the sunflower hearts to suet pellets because they slide out so easily.
Also remember to wash your bird feeder implements out regularly and leave to air dry before refilling. This is because bird feeders bring together lots of species that ordinarily wouldn't mix, so it helps prevent disease to keep the bird feeder clean of any infection, also illness caused by moulding food and also bird droppings. Wear gloves yourself when washing bird feeders and don't wash them in the kitchen sink (ie where you do your own washing up and food prep!!)
Small birds like the bird feeder to not be too close to any movement or activity (not next to a busy room or path) and not too far from a bush in which to hide. About a metre or so away from a bush is great - but if you have squirrels, not so close that they can leap from the bush to the feeder! I'd also recommend a squirrel baffle to go on the hanging feeder pole- it's a clear plastic dome that you screw on (easily) half way up the pole. Squirrels can't get past it to the food.
Hope this helps!