Welp, in that case you're boned
Torrents are the main free way of getting software. Newsbins varies between $50-100 a year (can't remember how much), but it is currently the best filesharing method available.
There are other free ways (kazaa, emule, etc), but they mostly suck compared to torrents.
Are specific type of software you're looking for? If it's just music there are many easy ways of getting it without any filesharing software. Movies are a little trickier, but easily manageable if you know the right areas. Actual pieces of software (programs, games, and such) you'd need a filesharing method.
For specific torrent systems, I used to use azureus (IIRC it's now called vuze), but that was maybe 5 years ago. It had a method of adding blacklists to prevent you from being traced, quite effective. But I haven't torrented in a long time, so I may be a bit out of date.