Redundancy / Retirement advice please

Looking for some general advice. Been made redundant but have a pension coming out in about six months at age 60. Been talking to several people who have described the Job Seeker thing as a nightmare so my intention was to not bother signing on for JSA and I have enough funds to bridge the gap until the pension comes out. Is this the correct approach?
Am I unemployed or am I retired? At what point do I become officially retired? Is it when the pension kicks in. At what point do I tell the tax office? What do I do with my P45?
The main concern would be NHI contributions. I need two years to get the full state pension one of which will be the current year and I think I would have enough weeks to cover this year (?) leaving one year to go. Can I sign on for just NHI? How do I get the final year. Sure I saw a way of signing for NHI online on here but can’t find it again.
Got too much savings to get any means tested benefits but is there anything I should be doing?