You can decline any place offered. However, you may prefer to write to the LA or school and ask to be removed from their list - it'll save them having to do admin work only for you to turn down the place. If it is an LA school, you need only say that you are making alternative (or private or independent) arrangements for her education. There are questions about the current enrollment process - the guidance seems to say that schools should enrol any person offered a place on the first day they should have turned up. This could involve your DD in being enrolled and needing deregistered even if you have decided on EHE. Personally, I wouldn't chance having to get involved in al that and I'd remove her from the system PDQ.
I would make a resolution not to spend money until you really need to or really want to. Many people (inc me) start off by buying loads of resources that then sit and gather dust. Particularly "schooly" resources. It makes you feel better, as if you are "doing something", but does not necessarily improve your educational experience.
We had a subscription to a BBC early learning mag from grandparents (NC-based, but littlies don't care) until the DC got too old and then we had a sub to Aquila for two to three years. We were members of the RSPB for a while and got their magazine. Otherwise, we have paid for musical instrument lessons and the local youth music group, dancing, LA after-school sports groups or lessons (various over the years: swimming, skating, trampolining, gymnastics), youth organisations (Girls' and Boys' Brigades, St John Ambulance), trips to theatres, museums and other places of interest and a variety of EHE groups and workshops.
It sounds a lot, but we haven't done all of them at once and not both children doing everything - that list covers 16 years for two children, LOL.
I just told people from the beginning that we were going to home educate. (If they are offended, that's their problem.) I didn't make out like it was me being superior, more that it was a wierd quirk of ours and I quite understood if it wasn't for them. After about ten years of talking about it, I realised that something had flipped in my head - I now genuinely consider sending DC to school at 4 to be a bizarre idea and wonder why anyone would do it. I'd also suggest you start attending EHE groups, if you can - it'll make you feel less wierd and your DD will see that not all other children go to school. Don't worry about it being "too early" - EHEers often have children of a variety of ages so you may find the groups have children from 0-14+.
You don't need a list of aims. You may want to write down your ideas if that works for you. My overall aim was (is) very simple - to raise adults able to live independently and earn a living and with whom I would still have a relationship. So far, it seems to be working - they haven't achieved the earning yet, LOL, but the other bits are coming on fine and I can see the light at the end of the tunnel (good job, after 18 years!).