alot of questions in one post. Might be better to repost in a thread of it's own, it'll be easier to find. I'll do my best to answer your multiple questions breaking them down one at a time.
your question in green answer in bold
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hey DoubleTap, do you have an idea how much it would roughly cost to have someone re sheetrock a 9 x 6 bathroom... i know thats not diy but im just curious if you know,,, or know how much is the going rate for hanging drywall is... i know many people hate that term going rate because everyone charges different but in the ballpark is all i care for knowing really.
I have been out of the field for years and honestly have no Idea what the "going rate" is. If your not "DIY" your best bet is to get 3 estimates from reputable contractors and go with the lowest bid. Be sure to do your home work and ask the contractor for references. Don't be afraid to call upon the references he/she provides and ask them are they happy with the work performed. Would they use them again etc... Also make sure they are "Licensed/Bonded" this helps protect you in the unlikely event they screw something up.
also not diy but if you have someone put in hardwood floors and you had say carpet and your trim/baseboards was already in place do the installers have to remove the baseboard/trim to install the hardwood
Not always, depends on what finsihed look your looking for. If you want the new hardwood to flow upto and under your base boards then yes it will have to be removed (good time to update your baseboards to the 6" Baseboards that are going into all the new homes, Looks Fantastic!.) However if you do not want to remove the baseboards the installer can lay the hardwood upto a 1/4" away from them and top it off with a 1/2" quarter round piece to trim it out. Reson for the 1/4" gap between the baseboard and hardwood is to allow for expansion of the wood.
what about where the room meets a door
there will be a transition piece that covers the "transition" to the flooring beyond the door
or do they not bother with that and use quarter round along all the edges?
depends i've seen it both ways. Yes normaly it would be finished off with some quarter round trim.
Hope that helps!