I have recently had similar issues and done a LOT of research.
Big manufacturers will tell you there is nothing effective BUT their product.
SOS will give slightly different opinions depending on who is writing the article and whether it is product test based or room advice based.
In the end I came to the conclusion that follows and assuming you have similar to 9ft x 8ft, carpet floor, slightly off walls, desk one end, sofa or similar the other, instruments around the floor, no chandelier, one door, one window, pair of speakers 6ft apart, big smile but a lot of bass...?!

You want to engineer as well as record a few instruments including a vocal. No intention of recording an acoustic kit as too small but may record elsewhere and engineer here:
The cheaper sets of acoustic foam tiles ebay, £35 for a set of 12-24. Authentically egg shaped too!
These only really stop the mids to highs bouncing around.
I'd do a 'mirror test' with a mate. This means, sit in your favourite spot and get your mate to hold a mirror next to each wall and when you can see a tweeter in the mirror, mark the wall/ceiling/surface with an X. Tile goes here.
It's a bit like John Virgo's magic pen on the telly!
Now, if you're a guitarist, etc and like to stand up or sit on the sofa or just like to push yourself away from the desk a little to hear how it's going then you'll appreciate continuing the mirror test from each of those positions.
(Remember above you also!)
Don't go crazy, there's really no point. Mids and Highs aren't your real problem in a room this size......
BASS IS ! :/
Don't reach for the EQ box just yet, that's not the best approach.
Small active speakers have high and low controls and they're great but even better if you can leave them at 0.
The most bass is probably in the corners behind your speakers (mainly), opposite corners and under your desk.
If you can find some heavy foam or indeed fibreglass insulation (nb itchy) cut into triangles and cover with a thin cloth. Please note, all acoustic treatment foams are fire resistant, for a good reason! so please, if you are covering stuff, get it sprayed if it's not already treated and make a note of how long it should last.
These are called 'bass traps' and to people on a budget are often far too expensive, at £40-£600 each.
Therefore often EQs and tiles are used as a compromise. No need, make some.
You'll have far better results and that will lead to more smiles.
Placement wise, put in each corner at the height of your monitors and again near the ceiling.
If you can then just go floor to ceiling, you may as well.
So long as you haven't covered the room in tiles, then it should still sound live enough to enjoy.
Remember, the tiles are great to stop echo or reflection and the bass traps in the corners are to try and stop or hold that massive bass.
If you deaden the room completely you will probably find your mixes are muddy on other systems.
At the end of the day, there is plenty of advice around but in an 8x8ft room you're better off keeping it simple and adding bits rather than lifting floors, etc.
Don't be scared to get it wrong, just have a go, I'm sure you'll get great results.
The main thing I haven't mentioned is thickness of any foams. Start out with traps around 600mm height X 300mm depth or similar. Then maybe add a bit of depth. If you have enough then play around with cutting the back corner length point out (you can always put it back) and if you have loads then put some under your desk.
Enjoy,
Best wishes.