I will back this up, I have only had my phone a short time 2-3 weeks and I rooted it and it was a very simple process using one downloaded file and the inclusive recovery tool on the phone. A rooted phone doesnt change how included apps work and they will function as normal.
What I suggest you do is root the phone, install CWM (enhanced recovery app) and at that point do a full backup using that app.
That way if you then end up breaking something using root you can rollback to the backup. However simply rooting the phone and then not using root for anything should be very low risk.