Before you go for a lift, consider getting a Triton TRA001 router. It basically has a built in lift, is very powerful, pretty much exactly what you're looking for. Save the other router for hand held use. The triton goes for about $270, which is not too far from a mid level lift alone. And not all lifts fit all routers, so you will need to check for your router brand. I added this option in case you decide on a lift.
There may be a much simpler way to gain that extra little bit of height, with some more information, we'll probably have more suggestions, and a picture or two would really help. Are you using a plunge base for this, or fixed?
The more I do, the less I accomplish.