Let me second what Dan has said: grinder first (resist the temptation to skimp), and machine second.
I have a Gaggia Coffee DeLuxe (similar to the Classic but without the 3-way solenoid), and used a Rancilio Rocky for several years. I also have a good friend with a Classic and a Gaggia MDF.
Everything Dan says is true (with the caveat that I've never owned/used a Silvia).
At these price points, I wouldn't buy an MDF or even a Rocky. I recently bought a Baratza Vario, and have been elated with its performance. I highly recommend the Vario or above (Mazzer SJ, etc.). Don't settle; you'll regret it. I cannot overstate the importance of the last two sentences.
I can confirm from experience that the Gaggia will do fine for one or two drinks, but no more. I would expect the same from the Silvia.
I've had my Gaggia for 5 years or so, and yes, I have a serious case of upgradeitis, but I've learned to live with the symptoms (for a while longer, anyway). I recently picked up a La Pavoni Pro, which helped alleviate some of my sickness (I still can't do a volume of drinks, but at least I can do a decent job of steaming milk).
You will hear this everywhere, but I can vouch for its truth: whatever your budget is, buy the best grinder you can afford, and then find the machine that fits with your remaining money. If buying a Vario/Mazzer grinder rules out the Silvia for budgetary reasons, no problem. You'll be happy with your setup, keeping in mind its known limitations.
But buying more machine and settling for less grinder will cause you nothing but heartache.
One of these days, a nice big HX machine will be sitting on my cabinet. But until then, the Gaggia does the best it can, and I'm good with that. For now.
