I say bring him to the hospital and make sure that he feels included. If you can make him understand that this is the FAMILY'S new baby, he might be less jealous. He should be included in the big to-do. I had anyone that was coming over to see the new baby bring a little gift for my oldest instead of the baby. We already had plenty of baby stuff so I asked them to bring a congratulations-on-becoming-a-big-brother gift for my oldest. This worked very well. He was able to feel a sense of pride in himself for being the big brother and a sense of pride in "his" new baby. He was also glad to see the visitor and was focused on that instead of feeling resentful that they were there to see the baby. Also, make sure that you let your first help you with your second. Even if it's just wiping baby's belly with a washcloth during bath time, and throwing diapers away for you. The more grown-up you can make your oldest feel, the less likely he is to "revert" to baby like behavior for attention. I was also VERY firm with the people coming to see the baby. I made it clear that they were to spend time with my oldest too. I wasn't going to have anyone over that would ooh and ahh over the baby, ignore my oldest and then take off. I just phrased it as a request and told them they'd be doing me a huge favor if they could help make him feel included in all of the baby excitement. I let him answer the door and he would "escort" the visitors to see "his" new baby. He loved showing his little brother off.
I know it seems like a lot of fuss but it's worth it. Every day you need to tell your oldest what a great baby helper he is and how it would be so much harder for you to take care of the baby if he wasn't there to help you. Try explaining how babies can't do ANYTHING for themselves and have to be helped with everything, but that the baby WILL get older eventually and will start learning things for him/herself. You need to tell him that you love him frequently and thank him for all of his help and understanding. I also always related the baby's developmental milestones with those of my oldest. Like saying "Oh look, the baby rolled over. I remember the day you first rolled over. I was so proud of you!" I also told my oldest that he was such a great baby that it made me want to have another one and that I needed his help with teaching the new baby to be as good as he is. I know I've gone on and on, but I have one more thing to add. I tried to carve out at least 15 minutes a day (usually during baby's nap) where I could just sit with my oldest in my lap and my arms around him and snuggle. I would say to him "It's so nice to be able to just sit with my big boy. I love the baby, but he/she is so much work. It's nice for mommy to have a big kid to hug that doesn't need all that work." This really built him up about being older than the baby and made him feel like he was special to me just the way he was.
Anyways, I hope this helped. Just make sure he's feeling included, loved and yes, even slightly superior to the baby as a big kid (which there's nothing wrong with) and he should be fine.
Happy Holidays and congratulations on the new baby!