Having had both types of non-plumbed in espresso machines (pressure and pump driven) I would not go back to pressure driven system. With a pressure driven system you are limited by the ability of the system to get the water up to heat quick enough, and the water needs to get too hot to operate the pressure system, so burnt coffee is more frequent. the quality also varies a lot more than the pump driven ones. The down side to pump driven ones is that they tend to take a little longer than pressure driven ones to make the coffee, but the end result is more consistent.
I currently have a Gaggia Evolution and I wouldn't be without it. As for a grinder a burr one is a must (unless you just want to make lots of dust) and it must be adjustable, so you can make the grind exactly how you want it. I have a German made unit which cost around £45 from a local indie coffee shop and, although noisy, grinds the coffee perfectly.
Incidentally the Evolution will operate with pods (Gaggia's own) or with grounds, so can be useful if that is your want (not mine as I prefer to have a bigger choice and not be locked into a manufacturer's whim as to wether it will make the pods any more)
HTH