I agree with other posters. Feeling cherished isn't necessarily about the housework, it's about the little things.
My DP doesn't live with me full time so the housework/ kids stuff / family organisation etc isn't really his job (he has his own house and kids to organise). If anything I 'look after' him more, I cook for him most of the time, massage his shoulders, cut his hair, buy things he likes while I'm at the shops etc.
However, I do feel cherished because he does help out with chores when he's here or he will at least come up and molest hug me while I'm doing them, he messages me during the day to tell me he loves me, he gives me foot rubs and head massages while we're watching TV, makes me tea, takes me out for lunch. He's the one who usually suggests holidays and weekends away, although we often plan and book them together. He buys little things, flowers etc and brings food with him.
There's a lot of give and take in our relationship and this is why it works so well. We're both very generous with time, affection and cash so it works well. If only one of us was willing to give and the other was all take, there would be resentment. Sometimes if I feel the balance is going too far his way I will pull him up on it and he will usually point out things I've forgotten and I realise that actually I've got nothing to moan about!
Your DH giving you a hug or picking up something from the shop that he knows you like is really the least you should expect. You need to talk to him about your soul searching and the conclusion that you're not being taken care of. He needs to step up.
I remember reading something about mums being the jug, while DH and the dcs are all the glasses. If you keep giving but you're not getting anything in return you end up empty. They all need to be refilling your jug on a daily basis!