My 2 cents for what it is worth.
When I got my iPad it was a snap because it was like a big iPhone. You will instantlly see that your iPhone will be like a mini iPad. Plus from my point of view the smaller the phone the better as I like popping it in my pocket. I can’t imagine carrying around anything Larger. Plus, not only will the transition be simple, the two divices will communicate with each other and you will have all your contacts and other info in your phone on your iPad which is good for looking up numbers and other information when your phone is not by your side.
But do explore all your options as all the above advice is good. Incidentally I checked the apple website a few days ago and the SE was still listed. I just double checked and it is still there. However, this is the time if the year that old models are phased out so what @Kevin Slater notes is most likely true. It might also possibly lead to a bargain price...