Monster
With restrictions like budget, access (i.e. the size of the hole you can/cannot get away with drilling from outside to inside) in mind, and the exact coax type designation (e.g. RG58, RG8, RG60 etc etc ......), the rule to apply when selecting coax cable to run between your antenna and receiver (at least as far as general VHF/UHF type scanning/listening is concerned) has to be: the shorter it's length & thicker it's diameter the better (the less signal strength you loose).
A nicely written, basic and easily understood intro to coax is found at:
Coaxial cable - Wikipedia, the free encyclopedia.
3 basic but all too often forgotten coax installation tips:
1) Sealing exposed/outside connections - using a good quality tape e.g. self amalgamating type or rubberised type tape - not general purpose plastic/pvc type insulation tape - is a must. Also seal/wrap the coax/N-Type/antenna connection point.
2) UV Exposure - where poss, keep as much of the coax run out of day to day direct sunlight i.e. run it under the gutter/eve/roof-line where ever possible..
3) Keep moisture/rain out - last but not least: a small loop or u-bend, that drops a few inch's below the hole drilled through a wall to run coax from outside to inside, goes a long way to keeping rain run-off on the coax from also running through the hole (and making a mess inside)!
Good luck