HSA (HDHP) with old employer and FSA (non HDHP) with new employer

I have a HSA (HDHP) with old employer. I am changing jobs and my new employer offers both HDHP with HSA and non-HDHP with FSA. Their "non-HDHP with FSA" plan is very good. Will there be any tax implications since I have contributed to the HSA with my earlier employer? And what will be the contribution limit for both HSA with my old employer and FSA with my new employer?