OK Knuckle Head let a ham set you straight, you're looking at the wrong end of the coax. Before you consider receivers, transceivers or even becoming a ham if you're interested consider a proper antenna. A scanner antenna (with the exception of certain discones) is optimized for the public service bands and the ham bands aren't really considered. With ham antennas quite the opposite is true BUT they DO bring in the public service/govt/mil bands quite well. What bands you want it to cover depends on activity on those bands, it varies from location to location so there is no point buying an antenna that covers a dead band. Point to consider, the more ham bands it covers the more other bands it will receive (some are next to and others between the ham bands) so look for a compromise that will cover what you want to listen to.
They come in all colors from basic little to no gain peanuts to high gain monsters, considering price you'll probably settle on something in between. For what it's worth before I moved and had to redesign my whole installation (presently I'm sans antennas) I used a high gain tri-band vertical for 2M/1.25M/70cM which translates to 146, 223 and 440MHz that gave me one HECK of a range and did a bang up job receiving public service, government and military bands too.
That being said it's time to check out the ham retailers' web sites and on line catalogs. Not knowing your needs but mostly because I refuse to do your homework I'll not make recommendations, you know off in the back of your head what you need so it's up to you to develop the thought while wandering the mall looking at all the goodies.
While you're there you may as well check out the coax, no sense having a good antenna if much of the signal gets lost in the pipe. If you have the "best" (;->) already if it ain't broke don't fix it BUT I'll bet you don't. Here recommendations are easy being less complicated than antenna selection, you need the lowest loss for the lowest price but with the latter nobody can help you but your short stubby fingers on the mouse. Ordinarily I say RG6-U quad shield gives the best bang for the buck but we're not talking receive only scanner installations here, one day you may get the urge to transmit so you need "transmitting coax" and really don't want to replace the whole run... twice. Loss wise Times Microwave LMR400 gives you 2.7dB per 100' @ 440MHz (that's the frequency you really want to look at) and while LMR600 and LMR800 give lower loss they are just a BIT pricey. Belden 9913 show 2.8dB which is a rather insignificant increase so it's worth consideration. There are some others but that's enough homework for one day, I'll let you complete the assignment.
Finally, when you get your new antenna up and the coax all connected (you'll need an adapter for the scanner but not a transceiver) you can donate your old stuff to the new kid down the block just starting out with his brand new portable Radio Shack "police radio walkie talkie" he found under the Christmas tree. Calling all cars, calling all cars, go to ____ and check out a report of a monkey on the roof. HUH?!?! Uhhh, that's what the caller said, a monkey with a big pole and a roll of wire in his hand.