For a razor, I'd also recommend a good vintage razor from the classifieds. Sham puts a really nice edge on his blades.
I'd recommend starting with a boar brush. I don't like pure badger because it's scratchy on the face, so I don't like cheap badger brushes. Boar still has the scrubby feel of low grade badger, but it can be much cheaper and isn't prickly. Semogue brushes from vintagescent.com are a great option in my opinion.
If you really want a super soft tipped badger brush, get a 2 band finest brush from here: Shaving Brushes : Fountain Pen - Antique Pen - Vintage Pen - Fountain Pen Ink - Penworks AZ
There are some cheap ones and for the price, the 2 band finest is the best knot out of the many I've tried.
Message here: Unless you like prickliness, don't buy some low grade badger brush that'll make you want to buy other brushes, because it's too annoying on the face.
For a strop, start with something cheap and then get a nice one later. A filly strop from ruprazor is often recommended (haven't tried it myself). The SRD strops that I've tried have been a nice option, so you could step up to those later.
For a soap, get something that's easy to lather like Speick brand shaving soap or cream. There are a bunch of other cheap and great ones:
Proraso
CarrieM's creams (PM CarrieM here to buy the cream)
Kiss My Face available at many stores (e.g. Whole Foods)
You could come in anywhere between 75-200 dollars with these. 75 if you get an OK razor and 200 if you get a really nice one (that'd be much nicer to look at than that Dovo IMO).