Water logged lawn

I recently moved into a new area and have noticed that the soil I have in my garden is more like clay. The lawn is currently very water logged and I don't remember it being much better when we moved in, back in July. I remember seeing a gardening program once, I think it had Alan Titchmarsh in and he suggested airating the lawn with a fork and filing the holes with garvel/sand. Did anyone see this program? Do you know what I should fill in the holes with. I love having a lawn but my husband is convinced it is too much trouble with the clay like soil we currently have.
Help....

 

Hi Betty

You can get a special hollow tined fork for this job but to save expense a normal garden fork pressed in and rocked a little will make the holes

The filler is sharp sand, make sure you get this type which is courser than normal builders sand

 

Thanks, have you tried this method?, did it work.