1. I believe baby sign is just basic words like baby words. Hungry, milk, cookie, tired, etc
2. there are plenty of Deaf meets usually in pples areas if your in a larger city. Maybe try to learn a bit more phrases so that you can explain you want to learn more so they think you aren't just an ASL student trying to learn more from them for a short period of time. Some deafies will be awesome and open to let you learn, others however won't be so nice.
3. ASL has a different grammar structure, it's not "lazy" it's just the way that it was done. I believe Subject, verb, noun but not positive on that...under ASL there is PSE (pidgeoned signed english) and SEE (signed exact english) ASL is a language PSE and SEE are methods. Signed Exact english uses ASL hand motions but signed in english grammar..can't member how PSE works
4. Practice practice practice...my fluent ASL audi has even made mistakes before with hamburger and friend or something like that one is a fist and one isn't
5.website isn't bad but video is a bit small to learn from..i like seeing things bigger on my screen but that's my preference
there are PLENTY of ASL sites as well