This would be my recommendation as well.
I've used 2 different routers and just plain old DHCP with no issues running up to 11 DirectTV receivers in addition to multiple PCs, network AV receivers, network connected TV and BluRay appliances with no issues. Max lease time make sure you have enough addresses in your DHCP "span" to accommodate all devices you are connecting.
If you are running a wireless network from the router as well, make sure you aren't giving out addresses to neighbors;) by securing it.
I can't help you on routers much unless you've an open budget as my ASUS RT-N66U has come down to appx 160 dollars at Fry's. Not in most peoples budget but worth every cent to me. YMMV. I showed my network admin here at work (whom had sold me on that model ASUS) my iPad's Fing (network application output) and it showed 42 devices and he muttered that it looked like a work output.
Static addressing should be a last resort as it forces maintenance as your network evolves.
There was a 10 best routers paper a few months back on AVS Forum You might want to poke around there if you end up looking for new.
Don "may be just settings or perhaps time for a new router" Bolton
Try using DHCP Reservatlions and also if you can, extend the DHCP Lease Time to the max possible. This has generally resolved the problem with DHCP and Whole Home issues.