The two of you can make it work. The thing about love is that the time of sowing (planting the seeds and nurturing them with water and fertilizer) is not the same time a harvest. There is no force in love, it is not boastful or rude. Love is patient and kind and does not seek its own way.
Reading the Love Dare with my husband was really great for growing the two of us closer together, when our relationship was in a rocky place, but it can be read alone as well.
I have a 5 year old, nearly three year old, and a 15 month , so I know what kind of effort you are talking about with household maintenance. Know, too that this is a season in your lives together.
A counselor would undoubtedly be helpful in bridging the communication gap that you two have going on. Also getting your husband physically checked out to rule out anything physical that might be getting in the way of him showing physical affection would be good. It's always good to rule out the easy possible causes of the undesirable effect.
Here is a way of framing your words that I learned from Chip Ingram:
When you do _______ , I feel ________ .
It takes away the feeling of blame and accusation and let's the other person really hear how you are feeling. So in your case, you might say something like "honey, when you watch TV for hours in the evening and don't hug me or hold my hand, then I feel unloved."
Good luck, and may God bless you and your husband with ears to listen to each other.