I wouldn't take a new puppy to a park, not until I knew it had at least two sets of shots in him, and they had a few days to start working. Probably three sets if it is a higher volume dog area.
The first few days with your new puppy should be light stress, happy, and playful. House training to your home, by keeping a puppy leashed to you is a great way to bond in the first days, that and crate training.
After a week, starting a puppy class is a great idea.
There is no hurry. The dog and you are going to be a year older a year from now whether you get the obedinence down cold in 4 weeks or 4 months or 4 years. There is no hurry. I think when we rush stuff we can run into some problems and unnecessary stress. Remember that puppies have the attention span of a flea. Just develop some games for your puppy that incorporates some commands that you will lose later on. Keep it light and fun, and stop when your puppy still wants more, and a year from now he will be awesome. And the bond will be awesome.
Jenna, RN CGC & Babs, CD RA CGC HIC
Heidi, RA CGC
SG3 Odessa, SchH1, Kkl1, AD
Ninja, RN CGC & Milla, RN CGC
Joy, Star Puppy, RN CGC
Dolly CGC & Bear CGC