A rollover involves the movement of funds from an employer-sponsored plan to an IRA account and is initiated by the client personally (i.e., moving funds from an old 401(k) to an IRA.) Rollovers can be done from 401(k), 403(b), and 457 plans, Thrift Savings Plans, and pension plans.
A transfer involves moving funds directly from one IRA (or account) to another whereby the receiving trustee sends the request to the resigning custodian. For someone starting an Advanta IRA account, Advanta would submit a transfer request on your behalf to your current custodian.
Both transferring funds and rolling over funds into a new Advanta IRA do not result in any tax consequences.