Been using internet ordered tires for a long time now, never an issue, unless I'm stupid and order the wrong size! helps a bunch if the tires are nice and warm, both the one coming off and the one going on. I like to go for a short ride to put some heat in the one coming off, and either lay the new one in the sun if it's nice out, or inside for a couple days if it's nasty out.
and the best thing I ever did was buy a BEAD BREAKER, money well spent!!!!!!!