Bubbles, sounds like you are assessing your musical needs. Moving house is always a good opportunity to revamp or condense your kit, although I'm a little confused over the kit you''ve got (>top audio part of the turntable) - Is this what you might call an 'all in one'.? The turntable will have to have it's own power and audio to do what I'm suggesting.
Firstly, yeah, keep your turntable, you'd probably regret getting rid. If you still have your CD player (which you obviously like) keep that as well. If these are the bits you're keeping, then you'll need a seperate stereo amplifier (with a turntable phono inupt) to plug them into.
As for your speakers, without knowing what make and model, it's difficult to say what level of quality and performance they give, but you might be surprised how good a smaller pair sound when hooked up to a decent amplifier. Think about the size of room you are going to put them in. This is true from an audio and an aesthetic point of view. Put a pair of elephant sized speakers in a small room, and you'll hear more boominess than music.
There's tons of decent second hand stuff kicking about both in local second hand shops and on e-bay. Depending upon how much money you've got to spend, you could pick up a couple of items to give you a really good system.
If you want to post more details of your kit, I'll gladly suggest a few options.
Chris.