First and foremost - 2 links to LDS Family history:
http://www.new.familysearch.org/ - for members of the LDS only - for the time being
http://www.familysearch.org/ - for everyone. Includes a catalog of Family History Library at SLC
http://www.familysearch.org/eng/indexing/frameset_indexing.asp - link to indexing. Want to see what indexing is like first? Check out this link: http://indexing.fsbeta.familysearch.org/ - just remember to go back to the other link to actually register - this is just a test site.
http://pilot.familysearch.org/ - a great site to start searching for ancestors
http://genealogy.about.com/cs/free_genealogy/a/free_sites.htm - has links to several free research sites
Come to the Family History Center - several for-pay sites can be accessed for free here!
http://www.lds.org/churchhistory/library/pioneercompanysearch/1,15773,3966-1,00.html - takes you to the searchable site for pioneer heritage information.
- long link I know - but it takes you to the Church History Library site where they have an index of the Perpetual Emigration Fund and other interesting things.
http://abish.byui.edu/specialCollections/westernStates/search.cfm - Western States Marriage Index
http://www.cyndislist.com/ - the most comprehensive site of links to Genealogy sites
Daughters of the Utah Pioneers - to search click on this link: http://www.dupinternational.org/Pioneers/search.php
for their main site click here: http://www.dupinternational.org/
Sons of the Utah Pioneers - to search click on this link: http://www.suplibrary.org/stories/search.asp
for their main site click here: http://www.sonsofutahpioneers.org/
Daughters of the American Revolution - click to search: http://services.dar.org/Public/DAR_Research/search/?Tab_ID=1&Tab_ID_Sub=1&Action=Search
Read all about it:
http://books.google.com/books/serial/FTgEAAAAMBAJ?rview=1&lr=&sa=N&start=0 - Back issues of Ancestry Magazine - read online!
http://www.familytreemagazine.com/ - has many free forms and a free monthly podcast.
http://blog.dearmyrtle.com/ - a blog with many additional links to resources
Print out a chart or two:
http://www.treeseek.com/ - print out a colorful 9 generation fan chart on a single page showing an overview of your family history - and the areas needing further research
http://www.generationmaps.com/familychartist/ - the 8 1/2 X 11 charts are free to download and print out on your own computer
http://www.genealogygemspodcast.com/ - podcasts about genealogy to listen to on your computer or portable device
http://web.byui.edu/DevotionalsandSpeeches/Default.aspx - 2006 11/28 Devotional - The Hearts of the Children by Michael R. Otterson - to listen on your computer click this link:
http://www.tngs.org/library/genealogy_travel_kit.htm - ideas of things to take along on a genealogy trip.
http://www.findagrave.com/ - always being added to by volunteers
Great Articles about Genealogy:
Bridges and Eternal Keepsakes: http://familyhistory.byu.edu/resources/firesides/2002-10-11.pdf
Saviors on Mt. Zion: http://familyhistory.byu.edu/resources/firesides/2005-02-25.pdf
Faith in Finding: http://familyhistory.byu.edu/resources/firesides/2004-11-12.pdf
Family, The Eternal Perspective: http://familyhistory.byu.edu/resources/firesides/2004-02-27.pdf
A Voice of Gladness for the Living and the dead: http://familyhistory.byu.edu/resources/firesides/2003-02-21.pdf
DNA meets PAF: http://familyhistory.byu.edu/resources/firesides/2002-10-11.pdf
This is just a sampling of some of the resources available. Questions? Post them here and I'll get the answer to you. (I don't have all the answers - but I know where to find most of them ;)