You’ve got a number of options
1) Antenna choice and setup - a decent set of ears (antenna) has to be top of your list of options if you are staying with the same scanner/receiver – and now is probably the time to consider a VHF/UHF broadband LPDA (Log Periodic Dipole Array) that is going to offer you coverage from, say, 30Mhz – 1100Mhz or whatever bandwidth you desire. Why an LPDA?
For a number of reasons: they are, as I am sure you know, a directional antenna type, and as you have pointed out that you have a defined direction for reception (the city), an LPDA is going to offer a significant improvement in SNR (Signal to Noise Ratio). Depending on the receiver architecture, improvements in SNR can equal, if not exceed improvements in Gain, but receiver architecture aside, the improvement in SNR is never-the-less going to be real-world realisable i.e. forget any exact dB measurement, or FBR measurment ..… or however else one wishes to define atheimprovement, the combination of improvement in SNR, coupled with the now greater antenna Gain and improved Front Back Ratio .... etc etc ...... is all going to add up to presenting your receiver's front end with a stronger and cleaner signal, which in turn is going to result in "stronger" and cleaner demodulated audio.
2) Coax – you don’t say how long the coax run is between the antenna and your receiver, nor do you say what coax you are currently using? It may be only 20 feet or so in which case the benefits versus the money spent may well turn out to be pretty small nand ot really worth the effort (?). However, if your coax run is 30’ – 50’ or more, then coax choice now starts to significantly impact signal strength arriving at a receivers' input socket - and the greater this "impact" is the higher the freq you are monitoring. Give some thought to changing the coax. Do some "length versus loss "calc's for the coax you are using, versus anything else within your budget.
3) Preamp – I left preamp to last: it is in my personal opinion the last option you want to implement – if you are using an omni-directional antenna. that is. Preamps on omni-directional antennas not only amplify the signal you want to listen too, they also amplify everything else in the selected bandwidth i.e. your SNR stays the same – and to the receiver front-end, things appear much the same. Thats' not the case however using preamps with directional antennas. The benefits realised with a directional antenna, as described in 1), can often be enhanced with correct/proper amplification - so don;t negate a preamp altogether: in the right place they can offer a realisable and hearable improvement.
...... and the last option: invest in a better receiver – and as I think I have said before on this forum elsewhere, don’t overlook a used pro unit like WJ, IZT, Racal or similar rtype eceiver……. you’re going to get much more/better performance ( exponentially better) Dollar for Dollar buying a used Watkins Johnson 8617 (with the right options installed) or similar, on eBay, than you will spending equal or 2 to 3 x’s as much on a new modern off-the-shelf receiver – the key here, is: do your homework carefully before hand.
Good luck