Personally, I prefer to build my own. Once you get out of the $300 throw it away in a year computer range, it is monstrously cheaper to order the parts online and assemble it yourself.
First, pick laptop or desktop.
The PS3 is independent from the comp. It connects to the internet through the modem(if you want more than 1 thing connected you need a router also) so it is a non-issue.
I HATE HATE HATE Dell. They will rape you on upgrade parts from the 'base' one they start you with. And they have some parts that are custom made to fit in their cases so you cant go outside them for aftermarket upgrades(and they charge 2x what you can get things for online)
In general I am not a big fan of most premade machines, but other than some of the screwy stuff that Dell pulls, computers are all made from the same basic parts. There are 2 CPU makers, 2 Video card makers, only 1 real sound option. The only places where there is really much difference is in the RAM and the motherboards.
If you get one with Vista, get 4 gigs of ram.
Get a firewall and anti-virus.
Any other questions, I will be happy to answer.
I'd agree with strigori on all points.
Having said that, however...
Dell has pretty good machines for folks who don't do much in the way of upgrading. They tend to be pretty reliable, they're inexpensive, and they do have pretty good (but by no means "great") support. The one area that tends to tick me off - and related to what strigori mentioned - is the use of propietary parts. In particular, they tend to use motherboards that have some funky connectors for the power supply. What this means is that if your power supply fails, you can't simply go and buy one from anybody - you either have to buy a Dell power supply or you need a special adapter for a "regular" power supply. There's absolutely no reason for that except to keep you tied to buying Dell parts. The other area that is problematic on many Dells is the case - the way it's built, you can't just slap in an off-the-self floppy disk drive (yes, some people still use them) or optical drive (CD/DVD).
That's the major issue with non-standard parts that I've encountered. Usually, the specs will show if you have the correct ports and slots to enable you to, say, upgrade your graphics - which is the most common upgrade.
If it's a laptop, I'd recommend a Leveno (sic) - what used to be an IBM. Very solid, well constructed machines. The quality seems to have remained high even after the sale from IBM to Leveno.
But I'm like strigori - I prefer to build rather than buy. I know exactly what I'm putting in there, I get precisely the configuration I want, I don't have to put up with "bloat-ware" - the list goes on. I use NewEgg.com for all the parts except memory, and I use Crucial.com for that.
If you go that route, you can get a reasonably priced motherboard, a good mid-level dual-core processor, the exact size of storage you want, the precise level of graphics, and so on.
And, again, I agree with strigori about the ram - get 4 gigs if you are using Vista. Even though the 32-bit version of Vista won't recognize the full 4 gigs, get 4 gigs.
EDIT: - fogot to mention; I'm moving this topice to the Computers sub-form.