A .22 will the job fine for rabbits, .17 hmr will do for longer range shooting,rabbits, crows ect and can be used for close range fox, however you would be best to speak to your feo about wether or not you would get a .17hmr for fox on your ticket, some constabularies do grant it for fox some do not (so i have heard) the ideal rifle for fox would be something like a .223, but i doubt you will get this on a first application and if you do it would almost certainly come with a mentoring condition, you could try for a 22wmr which would be fine too but being a centre fire most constabularies woul