Basic Home Networking Help Please

Hi Gang,
I'll try to be brief, but this is an issue I've had looked at by Verizon "techs" for 2 years now. Every person they sent out new less about this than I do, the last one replaced my brand new modem with a new modem saying "it feels hot", this solved nothing of course.
I have 3 PC's, all HP, a desktop Win/7, a Vista Lappie side by side in my office, both run wired and the third is another Win/7 desktop downstairs wireless, rarely used. All are new. I have a new top of the line Belkin 750 Router and a new Westell Modem so we can rule out hardware or viruses. As for networking add-ons, I have a Directv2PC using an N-Adapter so I can watch programs on my Lappie as I work, last I have a Wii in my boys room, connected wireless, but he doesn't game on-line, he's 5, just telling you all my connections.
My issue is simple, connectivity. I get kicked off the net or my PC's simply freeze (all at the same time) several times daily. I need help as I'm disabled and auctions pay the bills, freeze-ups in the final seconds kill my business.
I can tell you I believe my network is a spaghetti mess, I didn't know what I was doing when I set up the network. I think my Lappie is configured as a wireless even though it's ethernet cable connected to my router (wired). My Directv2pc stopped working since Verizon guy swapped new modems.
My question I suppose is should I re-do my network setup from scratch and if so, would you direct me to a good guide for "idiots" please?
To save you possible issues, all my equipment is new, all of it, I don't use a home phone so my main PC is the only thing plugged into my phone lines (all devices have filters) so rule out interference, the only thing not ideal is there's no phone jack in my office so I have a 50 foot phone wire running to another room to connect my router to our phone jack. Thanks my friends.

I think this is solvable but the first question is this. Do you HAVE to use the westell modem? Does the Belkin come with a built in modem? It might sound like a dumb question and I'm not too sure how the American broadband system works but over here in the UK we can configure our Routers to work with the ASDL broadband service. I only ask because you modem might be trying to assign IP address and so is your router.

I don't know if I'm able to take a screenshot of my network configuration page, it might simplify it to show it to you. I can tell you I was basically guessing when I did the network. Mind you, I'm no dunce, I was repairing F-15A Jet Fighters when I was 18, but all the incompetent techs Verizon sent out here to fix my connection troubles made this a train wreck, one didn't even know which side of the filter took the phone wire, another replaced a brand new 1 week old modem with another because it felt "hot", (he ran no tests to see it was faulty), another told me I had no dial tone (I do) and not one stayed to confirm the issue was resolved. My speed tests are excellent.
Cheers

Yes, I know the IP addresses of all 3 PC's and the router (192.168.2.1)

Are the ip addresses all static or does the router dish them out?

If it's the 192.168.2.1 etc then it's static for each PC