The NIH PO in charge of my K-23 told me that it can be difficult to transfer a K, but not impossible. He mentioned that you need to demonstrate comparable training at the new institution, that the new mentors should be comparable, and that the institutional commitment to protecting 75% time for K activities must be there. But, you don't have to demonstrate that the training or mentors will be "better" at the new institution. The PO said that they're willing to work with you, and that they want to help K-awardees to transfer their grants when situations arise that necessitate moving. But, it sure seems like a hassle to get all of those things to line up regarding training, institutional assurance etc. In your case where you are in the first year of your K, I think it might be harder to show comparable training since you will likely have proposed significant course work and in-lab training activities during the first few years of the K. It would be easier to transfer it in years 4 or 5 when the majority of course work is likely to have been completed, and you're expected to have learned the core skills under your award already. Additionally, applying in your 4th or 5th year for psych dept jobs would give you more time to take advantage of the K-related opportunities, such as collecting preliminary data for an R01.
Anonymous, it was striking that you thought psychology departments would look negatively on someone wanting to move with a K and why they would want to give it up. I was wondering if others who are already tenure-track faculty within psychology departments shared this view?