When I bring a new puppy home, I crate the puppy in a room where the older dogs can't get to him for one or 2 days. That way, the older dogs can smell the new pup and get used to that smell, hearing the puppy and so on. Then, I let the older dog into the room where the puppy is crated, so they can get a little bit more exposure to each other. I do this for a few days, several times a day for about 10 minutes or so. If everything goes well, I then let the puppy out of the crate (while the dog is gated in the other room) so they can approach each other at the gate. Again, for a few days, several times a day. If all goes well, then there's supervised time in a room or outside together. I usually take about 2 weeks to get to the point where the 2 dogs are together in the same room, supervised, of course. This is not a hard and fast thing, but you'll have to observe them and go at their pace.
If Snickers isn't chewing on stuff now, I don't think there's any reason to think that he would respond to the puppy by acting out that way. Be careful not to "expect" that into existence. Expect, instead, that everything is going to go fairly smoothly (knowing that there might be a few glitches) and be confidant that you can handle whatever occurs.
I think Snicker's crate is a wonderful way for him to have a den and even to be protected from puppy energy later on when the puppy gets a bit bigger and starts "bugging" Snickers. 
I have found that when bringing a puppy in, it's important to protect both dogs from each other. Puppies can be a pain to an older dog (ear-chewing, etc) and big dogs can inadvertently hurt small puppies. Established dogs aren't necessarily going to like this new intruder, even though he's adorable. Just take it slow and easy and be sure to ask any questions you might have. There are a lot of experienced people here willing to help.
Congratulations on your puppy!
LSTM (Laughing Silently to Myself)
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