I'd stick with Bit Torrent for large downloads and LimeWire for quick music/video.
You are comparing two applications which are not on the same playing field really, LimeWire is a P2P client and network, whereas BitTornado is a specific client to access the widely utislised Bit Torrent protocol, which enables a de-centralised network of torrent sites, swarms and trackers to distrubute files, and to which there are many alternative clients, a good and popular one being uTorrent.
There are certainly other better P2P networks, eMule is ok, DC++ is good if you can configure and I'm sure theres lots of others you could find with a search.
Be careful what you download of course, don't open any executable (exe, .com, .cmd, .bat, .wsh, .dll, .ocx, .scr, .pif, .cpl, .vbe, .vbs, .js, .chm or .vxd) files from untrusted sources such as LimeWire or public or unreviewed torrent sites/trackers, you will often see whatever exactly you searched for appear in LimeWire results, these are usually meta results which could contain viruses etc, specifically generated for you when you searched by a malicious host/server.
If you cant see extensions (the .xxx on almost every file in windows) then google for 'windows show file extensions', you can tell windows to show them on all files instead of not knowing whether funny_picture is a .exe or a .jpg.
Good luck.