If you just want high yield savings, Marcus is a good choice. They push and pull funds fast and also have access to a 13 month no penalty CD at 3.85% if you want to earn a little extra but not tie it up for too long.

If you want a bank that offers both free checking and high yield savings, I like Alliant, Ally, Discover and CapitalOne.

Alliant is a bit behind in rates at only 2.7% while the others are around 3.3%. But both Alliant and Ally have very high mobile check deposit limits, 1 day ACH transfers and ATM fee reimbursement ($20/month for Alliant and $10/month for Ally). Ally also offers a 11 month no penalty CDs at 3.85%. You can also deposit cash at certain CO-OP ATMs with Alliant while you can't with Ally and Discover. CapitalOne you can but only at their local branches which aren't nationwide.