Wow, a lot on this thread!
Firstly, congratulations on bringing your son home! This is an amazing time, but it is so intense, overwhelming, and emotional, for both you and your son.
Secondly, soft play is the devil's playground, and even on a quiet day, suggest you keep to calmer stuff for the early days.
Thirdly, we use a "naughty cushion" for DD, because she does need time out occasionally (she can get really worked up, and is so stubborn she finds it hard to step back from her position) but the threat of it is usually enough. We only use it in the room we are in at the time (if we are out and about I say I will look for one, but have only had to improvise a few times!)
Fourthly, I do agree somewhat with michmumm that not all adopted children need a very different parenting style, but DD did have the very unusual start that Kristina mentioned (one set of fabulous FC from birth) so in many ways she is not like many adopted children. I fully expect us to have horrific teenage years or something as payback, but at present we aren't having to deal with the issues that many of our prep group friends are struggling with. And we do mostly forget that she is adopted.
Fifthly, nothing wrong with a bit of CBeebies! All the other suggestions that people have put out are good. Personally, I found a mixture of playgroups / toddler singing on a couple of days, plus a couple of days with no commitments the best combination. Downtime is really important, don't try to cram too much in. Eating at regular times helps break up the day into a routine, but i think most toddlers like regular patterns to their time. And avoid soft play!
And Kristina is spot on about making sure that the parents are the only ones who do the key care things (washing, nappies, feeding etc)