Well, honestly, at this resolution, I don't notice the noise. Would you just be using the photos on the internet, i.e. facebook and such? If so then this, in my opinion, is acceptable noise.
However, if you want to improve, a faster lens would indeed help you. An external powerful flash would also help - it'll give you sharper pictures at lower shutter speeds.
Of course, there is also upgrading the body that has a better signal to noise raito... basically, you can bump higher quality bodies up to higher ISO's with less noticeable noise. Lots of options, hope you find the best that suits you