I use(d) [2014/2013] the same set-up, without a problem.
Win7Pro @ work, Win7HP @ home.
Files and user settings go from one to the other without an issue.
Sorry, should have mentioned, both are 64bit with 16Gb, and a SSD 15 second boot up time is a great time saver :-)
I believe the SW Corp answer would be Win 7 Pro. I know the home versions were not officially supported for many years even though they worked for some.
Either way, make sure it's 64 bit if you have a choice.