I moved to a new area about 2 years ago too. It's not easy turning acquaintances into friends. It does take time.
Just to add to the advice already given here. As someone else said, do join committees. Since I joined the PTA, I have got to know far more mothers far more quickly than if I had carried on single handed. Meetings are held in members houses, so that gets you over the hurdle of inviting people back, or visiting other people's homes. Not that you're obliged to hold a meeting at your home. I can't say that any of the PTA members are friends as such, but since I have only been a member for three months, it's early days. The meetings (surprisingly heated) have definitely helped me see who I might get on with and who's to be avoided!
Also, is there a playground near your school that parents take their children to after school? I go to our local one and ususally find at least one mother I know. It's a good way of meeting your child's friends and their parents on neutral territory. If all is going well, you can suggest a day when your child's friend could come round for tea after school. Make a firm arrangement and swap phone numbers there and then. Then it's over and done with. When the parent picks them up, you can invite them in etc etc. A parent or two at the new school my son joined in the autumn has invited my son to tea in just this way. Now I am reciprocating. Small beginnings that might lead to friendships.
Also, if your husband has made local men friends, makd a point of getting to know their partners. Give your dh a prod about making this happen, if he is slow on the uptake. I've made lots of local friends this way, riding on the coat tails of my gregarious husband.
And as Marina says, do meet other people from here if you can. It's great to see other mumsnetters face to face.
Loved the glass of wine test, chanelno5!
Must dash - toddler doing something worrying in the kitchen..... no spell check so excuse mistakes