No one on this board can give you firm timings. Someone can say I got my X weeks after I enrolled and was on basic X weeks.
Truth its, all depends on your unit when you will start working.
My unit didn't care much about no hook privates at the time. That being said there was only a few of us and we were pretty busy with basic. During basic I did weekly training with another unit (Rare circumstance, but said unit was running the basic).
I will give you some guidelines.
Basic will not start until at least the summer for a full time course. If you can't do a full time course you are looking at September/October at the earliest. Depends how many people are ahead of you + there availability + how many spots your unit gets. As for mie I asked for a eta on basic. Was told wait out you will probably get a call the night before. Sure enough. "What are you doing this weekend?"
As for your kit it again depends. I had my kit 3 weeks before basic, some people got their kit on week 6 of basic. I've also had people get issued a 2nd set of boots / small packs on SQ/ Dp1.
It really depends.
You are just gonna have to wait out.
Ask your unit when you swear in.
Edit: Seems it varys. When I did basic we all came with our kit, well most of us.