Bedrooms can be difficult ... I have had better luck with monitors but it really depends on the size of the room. I really like the Vandy 1c advice - I have nearly pulled the trigger on a few sets of Vandersteen's myself. I see them on Craigslist every once in a while. Very good reviews and a bargain if you can pick them up local. I have heard the Totem Dreamcatcher and I always wonder why they never made my list - also a very good choice. I dont know if you could pull it off but a Jolida 50wpc tube integrated and an inexpensive phono pre (Bellari) would be an interesting combo with either of the two speaker sets. Wouldnt leave a ton left for the table but a used Technics 1200 MK2 and a Grado mm cart might just cutoff.
I think I'm probably breaking the bank ... I have a hard time holding back when it comes to spending someone else's money.
Another good speaker brand that shows up on Craigslist, at least in the Pacific Northwest is A/D/S. I have a set of L710's and they really sing. Softdome tweeters and mids and the woofers have rubber surrounds so they age very well. I have seen them sell for under $300.
Good luck and have fun with you LP's. I would also recommend the Spin Clean system ... it's cheap and works well. A bit of a pain - having to clean 30-40 albums at a time but I was really happy with the result.