As stated, Grommit on here has a good reputation (I think he may be away for a couple more days yet) and will sort you out and give fair advice.
You need a vise. (there is already a thread running on here about budget vises)
You need a bobbin threader and a pair of hackle pliers.
I like a whip finish tool, but they are not essential and some very good tiers don't use them.
You need a sharp pair of scissors - you probably have one already and there's another thread on here about scissors.
A dubbing needle is useful also for applying varnish and clearing the eyes of varnish.. An ordinary darning needle or similar will do perfectly well.
you can make your own velcro brush.
A good light source is important.
No need to break the bank. That comes later