Regarding OS: Ubuntu is one of the most widely used and it has a lot of software available and easy to install, including making it easy for third parties to distribute software. Linux Mint is based on Ubuntu and has more drivers and such available out of the box and its interface will be a bit easier to adjust to than Ubuntu's. My wife uses it on her laptop and it installed without issue with drivers (Thinkpad X220 Tablet) and she has had no problems using it, having never used Linux before.
http://www.linuxmint.com/
Regarding office suites: most more user friendly Linux distros ship with LibreOffice. OpenOffice is NOT recommended anymore as it is barely being updated. LibreOffice is good, but I've found SoftMaker to be more feature complete, stable, and have better compatibility with Microsoft Office. It has a pay version, or you can get an older version for free. Paid:
http://www.softmaker.com/en/softmaker-office-linux Free:
http://www.freeoffice.com/en/
There is also WPS Office, which is from China if you trust them. Their interface is more similar to Office 2007 and up. It's not as stable yet, but it's getting there:
http://wps.com/linux/
Also, Microsoft Office in the browser is actually really good these days.
Free utilities: There are software repositories on most Linux distros you can browse with lots of free software. If you can specify what you need, I might can give other suggestions.
Kindle PC replacement: Calibre is the swiss army knife of ebook software. It can read about anything, convert it, manage your library, and communicate with lots of different eBook readers. I have the original nook and manage it with this software.
http://calibre-ebook.com/
Bible software will likely be the trickiest. The main thing you'll find is the SWORD project on Linux (which is separate from eSWORD on Windows, I believe). There are several different interfaces for SWORD. It has a lot of modules, but it's easier to find older, public domain ones. Xiphos is one of the more popular programs:
http://xiphos.org/ I've also used BibleTime. I have never bought a Bible program and don't use them all that much, so others can hopefully chime in better than I can.
Also, there is a program that you can use to install Windows software on Linux without loading up Windows. It isn't quite emulation: it's more like re-implementing parts of Windows, so the applications run natively. CrossOver is a way to do this if you buy it. It can run versions of Office 2010 and older reliably, if you've already bought them. It may also be able to run some Bible software you already have. You can check their database.
https://www.codeweavers.com/
There is also a free version that CrossOver is based on, but be warned it can take a lot of tinkering. Codeweavers has taken a lot of the hard work out of it.
https://www.winehq.org/