That room is about the same size as my small studio. As Garry says - you can do quite a lot in there, but it's amazing how often you need a lot of space, even for small objects. For example, I'm contemplating shooting some beer/wine bottles just for practice with some fairy lights out of focus in the background. Now I could do this at say 85mm f/1.8 and have nice balls of light, but then I also want a deep field of focus on the bottle - the only way to do that in one shot is to have a large difference in distance from camera-->bottle vs camera--> fairy lights, and I can't do that in my small space.
The only style of fashion shot I've managed in there was by having the model right up against the opposite wall - and made the shadow into a "feature" by using a single hard light. the shots were a trade for some modelling time for my own projects and I had given full disclosure on what would be possible beforehand - which she was more than happy with. You can't really advertise yourself as a fashion photographer with those restrictions although of course as long as you factor in rental of a bigger space when needed - all is good - and this is exactly what I do. Images are clickable.


The space looks like this (iPhone pano)
Agree with Garry 100% on the lighting fixtures - don't have any - I like that my space is a blank canvas at the start of any project. I'd also advise painting at least 2 of the walls a very dark and matt grey. I used Dulux Ice Storm II on 2 of my walls to create a "light sponge" to shoot into (well the recipe for Ice Storm II - Dulux don't make it any more but B&Q can mix these recipes - just make sure they're using a completely matt base). Definitely get rid of the red. The blinds are a good idea - and I used black-out rollerblinds on my windows. I had to construct retainers out of some 15mm copper pipe to hold it against the window frames though - they hang a good 25mm off the frame which lets in enough light to be a problem for longer exposures using dimmer light sources. I then used magnetic door closers to hold the blind to the frame at intervals all the way down (just use some white gaffer tape or masking tape to fix the metal plates to the frame)
Grids and flags will be your best friends too.
In general, get a good selection of sturdy stands, and put wheels on 2 or 3 of them - you have a hard floor already and wheeled stands are so much easier to handle. Get at least one boom stand, a floor (low level) stand and some lightweight stands for odd jobs such as holding flags, small lights etc. I couple of cross poles are useful too, as are reflector holder arms, and lightweight booms (things such as rolls of tracing paper, fairy lights etc. Other general grip such as superclamps, A clamps of various sizes etc are always useful, as are sandbags, and of course, a big roll of matt-black gaffer tape. A shooting table will be useful for product work - I used a piece of loft board on a baby plate that slots into a light stand, to make a wheeled, height-adjustable, and rotatable table - paint it matt black. Get two 30x120cm strip softboxes with grids, and a 120cm octa, a small white beauty dish with grid, and a bunch of white, grey and black foamcore boards about 1mx0,5m.
You have a bit more height than I do in my space - so I normally have people sit on a stool for portraits. some lighting setups may be a challenge:-
But you could always aim a light at the ceiling. I did use this setup for some art nude btw - I just cast a model that would fit underneath it
I'd also second Garry's axiom - knowledge trumps gear. I always like to know the principles behind whatever it is I'm doing because any technique can be extrapolated, even if I may take a few short cuts to begin with. YouTube
is a dangerous place without a guide - there are some videos which will damage your understanding rather than increase it - even if the photographers involved get good results (aperture controls flash, shutter controls ambient is a classic piece of nonsense I see all the time on YouTube). For how to work in small space though I can wholeheartedly recommend Gavin Hoey's channel on Adorama TV
https://www.youtube.com/playlist?list=PL821B7D720DEA39FA
However, it's a bit of an ad-hoc way to learn - and if you want to start with the principles of lighting, read Garry's book - it's a comprehensive tour of the principles, how to put them into practice and some worked examples.