Can they arrest you in your home for outstanding arrest warrant?

Only to the extent that safety requires, for example to make sure there are no weapons within your reach, or people hiding in any rooms. If the warrant includes a search, which sometimes it does,...

The moment any arrest warrant is signed by the judge it becomes an outstanding warrant. It may take a couple of weeks for the Warrants Division of the Sheriff's Office to enter this in their...

Yes

they can with a good reason

is applicable to the US (Colorado): Your question is not entirely clear, and therefore, I am going to have to read into it more than is given in the post. Your question actually is a non sequitur...