For the second part of your answer you should have a look at this SuperUser question
The first part of your question is very doable, if you just let me know the version of Windows you are using I will post the steps.
Also have a look at this article: http://fightingforalostcause.net/blog/?p=1044
Main points detailed below:
The driver for the device has a flag telling Windows that it is a
'removable' device, which gets loaded into the registry whenever the
device is loaded. So, you basically just need to setup a way to
automatically overwrite the registry value when the system boots.
First you'll need to get the ID of the device you want to remove.
•Open Device Manager (Start > Run > devmgmt.msc) •Right-click on the
device and go to Properties, then open the Details tab •The 'Device
Instance Id' item will be selected by default in the drop-down list
•It will look something like
'IDE\CDROMPBDS_DVD+RW_DS8W1P[...]\DB1B[...]\5&C10F4F&0&0.0.0 •Keep
that window open, or write down the ID because you'll need it in the
next step
The next step is to modify the removable value in the registry.
•Open the registry editor (Start > Run > regedit) •Drill down to
HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Enum •Then use the
sections of the ID to locate the device (e.g., IDE, then
CDROMPBDS_DVD+RW_DS8W1P[...]\DB1B[...] then 5&C10F4F&0&0.0.0 •By
default you probably won't have permssion to modify the value, so
right click on the key (folder) and go to Permissions and give your
account 'Full Control' •Inside that key will be a value named
'Capabilities', which will have a value of 4 or 6 or some higher
number •Right click on the value and select 'Modify,' then subtract 4
from the value (e.g., change 6 to 2, 4 to 0, etc) and click 'Ok' At
this point the device isn't recognized as removable. It might take
windows a moment to update the Safely Remove Hardware app, or you
might have to open it up to refresh it, but the device is updated. The
icon may stick around, but after the next step that will be taken care
of.
The last step is to make sure that the value is automatically updated
every time Windows boots (because the value is loaded from the device
driver every time, so we have to overwrite it every time). •Go to
File > Export and save the key to somewhere on your computer • Open
it with a text editor and get rid of all the extra subkeys and values
that we don't want to change. In the end it should look something like
this:
Windows Registry Editor Version 5.00
[HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Enum\IDE\CdRomPBDS_DVD+-RW_DS-8W1P____________________BD1B____\5&c10f4f&0&0.0.0]
"Capabilities"=dword:00000002
•Back in the registry editor, browse to
HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Run
•Right click > New > String value •Give it a name then Right click
and Modify •Enter regedit /s "C:\Documents and Settings\user\My
Documents\DVD Not Removable.reg" (Update the path for where you saved
the file and what you named it)
Now that .reg file containing the updated value will be loaded every
time you log on to your account and (assuming it was the only
removable device) the Safely Remove Hardware icon won't show up
anymore.
Update: Check comment #28 if you're running Windows 7
* Comment 28 loops back to the SuperUser question I linked you through to.
To hide that icon in Windows XP simply use the "Hide inactive icons" feature, setting it to "Always hide"
Right-click Taskbar > Properties > Check "Hide inactive icons" > Customize
This would require setting your other icons to an appropriate setting though eg
"Always show"