Hi moms can you tell me how it felt when your baby finally engaged PLEASE?

so i,m 37weeks and 2 days and have not lost the mucus plug yet but ui was sitting down and i had to get up and it felt like i had to pee a whole bunch well i went to the bathroom and i did pee but i had this kinda like pain not pinching like but i can't describe it but it only lasted for a few seconds but it was bad pressure when i was walking then i got to my kitchen again and i felt that other feeling can you please tell me if that is babys head already engaged i,m a first time mom so i was just wondering thanks for answering and if it is not baby what else could it be??