Dennis,
Lets backup a bit here. When you ask a question like this you need to say what your configuration is. How many receivers/DVRs do you have? If you only have one, then the connection to the back of the DVR works. If you have MRV you don't want to connect anything directly to your receiver. (Unless you want to setup the "unauthorized" MRV which is silly in today's world.) If you have multiple HD receivers with MRV your only real option is a cinema connection kit.
You say you have a router that is not close to your DVR. Is your router wireless? If so, you are in luck. DirecTV now sells a wireless cinema connection kit that will work with your wireless router. You can find it
here.(It is the picture in the middle of the page.) This is sold on a self-install basis and you can install it near your DVR.
If your router does not have a wireless connection, you can replace it with one that does or get the wired version of the cinema connection kit. The wired version requires that you connect an ethernet cable from your router to the box and then coax from the box to a splitter in your line. The box requires power so you need to put it where you can plug it in. It is up to you how you would want to run the wiring. Second, if you choose this option and you have MRV and you want to order the cinema connection kit from D*, they require a professional install. If you don't have the right tools and equipment to make the connections, this is a bargain. If you have the tools and knowledge, you can do what I did and get a connection kit from ebay for something in the $25 range.
Hope this helps,
Bob