My exercise routine. Hoping it's a good start!

I'm finally getting back into the routine of things. I really didn't know what was a good amount for someone to exercise a week. I looked online and it said that on average, people should be getting 150 minutes a week of exercise (but of course is can vary from person to person. So, as of right now, this is my plan. I have a small gym in my apartment building. So, I do an elliptical weight lost workout. I work on my legs on low impact and try to do a push and pulling motion on the higher impact to work my arms (I don't know if the elliptical works the arms too well, but my underarms [triceps] really need to tighten up). Then I do a cool down for 5 minutes. The whole program itself is 33 minutes long, switching every 4 minutes to low impact to a higher impact, back down to low again for 28 minutes. Then it has a 5 minute cool down session. I usually burn about 350 calories from that. Then I go back into my apartment (because I'm too embarrassed to do it in the gym), and do 12 minutes of squats, wall push-ups (because I can't do a regular push up yet), and crunches. I do one minute of squats, one minute of wall push ups, and 2 minutes of crunches. I repeat that 3 times. I do that 3x a week. As I lose weight I will most likely need to switch things up, but for right now I'm hoping this is a good start.