It feels like a heavier loneliness than the usual "well I'm separated and alone without my kids the next few days" feeling.
I worked so hard when I moved out to set up a house for my kids and me. Now that it's 7 months later, the house feels temporary, unfinished, with a bunch of hand-me-down furniture. Temporary stuff for a temporary place. It's not the community I want to live in. It's expensive. The entire area I live in lacks a feeling of community (everybody complains about that). I don't know where I want to live.
I feel this is because you are still in limbo and the terms of your separation are not particularly favorable to you with regards to custody of the kids. The limbo results in a lot of temporary things because you don't know what the future is and so cannot commit to anything permanent. Probably not surprising that you are missing your kids and feeling lonely because of the limited time you have with them.
You said the ball was rolling now. Once things are resolved it will hopefully help you plan for a more permanent situation in the future.