Probably a late answer but I'll have a go at it anyway (might help someone else reading this).
First off - I voted for the Fanatec option.
Like you, I had an old Logitech wheel and was looking for an upgrade.
Cost was an issue, so I wasn't aiming at anything too special or sophisticated.
My first choice was G25, which I bought used at a pretty decent price.
Initial impressions were positive - huge step up from my old wheel, loved the pedals, the 900 degrees of rotation, much nicer feedback, responsiveness and overall quality.
Was not too impressed with the steering precision, still quite noisy, still random rumble vibrations, crackles, gearings etc. and still the constant feeling of a center deadzone (mostly when racing Shift 2).
Soon enough I started spending more time fiddling with settings than actual racing, and could never escape the nagging feeling that something is missing or "it doesn't feel right".
So I decided to try something different, pit it against the G25, keep the winner and sell the loser.
The model I found was GT3 RS with the (cheaper) CSR pedals.
After a quick setup I started up Shift2 and ... wow! If there is one word to summarize the experience it has to be "smoothness".
Everything I felt missing from G25, the Fanatec had in spades: no deadzone, no time wasted fiddling with settings, very silent, extremely precise and again ... silky smooth. Well, the choice was obvious and bye bye G25.
Now I find racing a much more enjoyable and richer experience than ever before and I'm feeling very pleased with the choice I made.
Hopefully the wheel will last for many years, but only time can tell (build quality wise I have nothing to complain about).
I still think the G25 is a very competent wheel and, for the price, it's hard to fault.
But wheels are subjective, so before settling for one make sure you try as many as possible. You'll never know which one is right for you.