The pickups you have on that Tele are not Telecaster pickups. Your guitar will not sound like a Tele, and apparently that's what you want. Good.
Best for the money are Fender Original Vintage ($115 retail, $90ish on Ebay). Very traditional sounding and well-made.
Other good ones (and there are plenty) will cost nearly double that. I've had Fralins, VooDoos, Suhrs and other boutique stuff, but for me the OVs have that Tele skronk and twang that I look for.
Listen to your mother