You might find that you'll have the same problem with a weak signal. You're going to need to connect the router in the same way.
Try connecting and installing it and take a look at the signal strength.
l haven't checked on the details but it's possible that the more expensive router will have a higher signal output.
There is some software available, l can't remember what it's called right now, but you can use it to adjust the settings of your router to boost the signal.
However, this involves installing different firmware on the router and is only for someone with enough experience.
Let me know if you need any more help or advice on any of the above.