IMHO, based on what you posted, you do not want to use the same credit card for rewards earned on purchases and 0% on balance transfers, unless that card also offers 0% APR on purchases for the same time period. This is because the balance transfer balance may enjoy a 0% APR, however your purchase balance will have a high APR and the balance transfer balance gets paid down first.

If your FICO score is good, you ought to get one card with a low interest rate & 0% bal xfer for that balance and a separate card for rewards earning points on purchases.

As to which rewards card ... that would depend on your travel expectations and needs, as well as if you are trying to accumulate with a specific program.

Hope this helps get you started.