Power steering "sticks" in the morning when cold

i have been dealing with it and i prolly will for a while longer but in the morning when i first start up my blazer, when i turn left, no problem. But when i try to turn the wheel to the right it fights me like there is no power steering? If i keep applying pressure to the right then, all of a sudden, it gives and you feel the power assist kick in.. after the initial "stickyness" the problem will go away until the next morning when it will happen all over again. Generally this is only a minor inconvience but i am starting to worry that the power steering pump may fail on me or maybe i am dealing with a clog in the steering box but it is starting to make me worry.

I had my power steering pump replaced in 2002. Before it went bad
had trouble turning it to the right as well. I was told not to use any
sealer fluid in the power fluid chamber. You don't want to be hundreds
of miles away from home with a bad power steering pump. If your truck
is still on warranty no problem otherwise, watch it!!.

Being that your blazer is a "95". Its probably about time you just replace the pump. The pump aren't that costly and are pretty simple to replace. You'll need a GM Pully puller which you can either rent or purchase. Here is a e-bay site that sales used pumps with a life time warranty.
http://cgi.ebay.com/Power-Steering-Pump-1995-S-10-Blazer-GM-option-JM3_W0QQitemZ8012254927QQcategoryZ33588QQssPageNam eZWD1VQQrdZ1QQcmdZViewItem

the warranty is worthless tho. pay someone 70 bucks an hour and all they cover is the 5 dollar parts just buy a new one

Just some info. I have flush PS systems and gotten good results. I have had it to cure the problems many times. My customers always like to same money when they can.