I've been looking for an all around Linux Programmers manual but there isn't one… So that leads me to ask if the Unix Programmers Manual is relevant for Linux?
The manual is here: http://cm.bell-labs.com/7thEdMan/v7vol1.pdf
Linux – Is the Unix Programmers Manual relevant for Linux
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Ask your programmers what language you need to be using, this is the most important part. Not all languages work on Unix and Windows.
Take the language information to your Host, and ask them what environment it's supported in. You, also, need to ask your host whether the Sever will be Managed or Unmanaged. Managed means if you have any server problems the Host will fix them for you, if you put in a ticket with support (my $dayjob). Unmanaged means you're on your own. In the Managed scenario, you will get some kind of web interface control panel, such as cPanel or Plesk.
If you're unmanaged, you should have actual employed system administrators, ask them what they want. Or you need to be able to be a system administrator yourself.
If both windows, and *nix turn out to be suitable for your needs, go with the cheaper of the 2, if they both cost the same, find out what the admins (including the ones at the host) know better, or which department (windows or *nix) has more admins.
Running Linux (Ubuntu or Debian)
If it runs Android, it has Linux drivers, since Android runs on a Linux kernel. However Google maintains its own forked version of the Linux kernel source, and not all drivers have been ported back. There is no official Ubuntu distribution for ARM, but there are people working on an informal ARM port. That page lists OMAP chips but not Tegra. There is a Tegra porting effort (for the Toshiba AC100) as well, but it's not completely working. If you don't find what you're looking for, try Debian, which officially supports ARM (but doesn't support recent tablets out-of-the-box either).
On a tablet, a problem you'll run into is the touchscreen. Touchscreen support on Linux is still work in progress.
If you manage to get all the hardware working, most open-source applications will be just one apt-get install away. Forget about running any closed-source PC application.
Running an official Linux-based tablet OS
If you have a choice of tablets, consider looking for a model sold with Maemo or MeeGo. Maemo was only released on a few high-end phones, none that qualifies as a proper tablet as far as I know. Maemo tablets have been announced. Beware that the future of Maemo and MeeGo is uncertain since Nokia is no longer actively supporting them.
Maemo and MeeGo are actual Linux systems, with a custom X-based GUI. Most common Linux programs will run on them, and may either be one apt-get or zypper command away, or may require recompiling.
Running Android
Android is based on a Linux kernel, but it lacks a few kernel features, and the userland is completely different. The advantage of Android is that it'll have all the drivers you need. The main downsides are that it's difficult to find Android applications that are meant for offline work, and that the user interface is intended for small screens with only full-screen windows. Nonetheless, you can install many development tools on Android, including BusyBox (basic command-line tools), scripting languages (Perl, Python, Lua, Ruby, ...), but GUI applications are a problem since Android doesn't use X. You'll need to find an Android editor that suits you, and so on.
Best Answer
The Unix Programmers Manual you linked to is probably mostly relevant for Linux also. However, that manual was published in 1979. Things have changed since then in all descendants of the original Unix.