Battery Tender is a brand name of battery maintainers/chargers. Check sdtrippers index above for a fairly exhaustive review of what is what, and why (about 1/3 down the page under electrical).
The care and feeding of a deep cycle battery with the goal of keeping it alive and well is fairly complex, keep it fully charged, if it is a wet cell keep it full of water...
A battery tender (generic is a low watt/amperage often multiple stage battery maintainer) that keeps the battery fully charged and will slowly recharge it.
A converter will recharge the battery more quickly and the better ones will also maintain the charge level.
The latest wrinkle is "power centers" which have the converter 110AC and 12V DC fuses and circuit breakers neatly packaged and easy to wire i.e.
http://www.progressivedyn.com/all_in_one_pd4000.html (this is what is in ours so I am familiar with it)