Hey man,
You'll need something to get them up to ear level. See all those pictures where guys have studio monitors right on their desk pointing at their shoulders? Don't do that.
Whether you buy nice stands or just pile up some argos catalogues, it doesn't matter. Well, everything matters but you get the idea.
That said, I'm going to go out on a limb here and suggest not buying monitors at all until your room is treated to some extent.
You've proven that your room isn't suitable for vocals so that's just going to be 10x worse monitoring in the same environment.
If you're DIY handy, buy up some rock wool and some lengths of 4" skirting or facia board...Something like that.
Staple cover with old bedsheets or whatever you want. Easy work for big results!
I'd make at least 4 x 4'x2'x4"...One for each corner and take it from there.
You can set them up and take them down when you're done, or hang them semi-permanently on small hooks. Very little will hold them up.
That's probably not an ideal studio recommendation - It's a half-way-house knowing that you're recording and mixing in your living space.