Hi! My son did the same thing at about 10 weeks. He would sleep for about 15-20 minutes then wake up screaming. Night time was okay, it was mostly the day time (naps). I tried lots of things. . .bouncers/vibrating chairs, the only thing was the vibrating setting only worked for about 15-20 minutes at a time and then he would wake up!
I determined that the issue was movement, rather, NO movement. If I held him, rocked him, used the vibrating chairs, he slept fine. I considered getting a Baby Amby -- have you heard of them? They are pricey, but you can find one on craigslist (usually).
He grew out of this after 2 weeks or so. It was difficult those 2 weeks -- and my husband was in Russia while it happened!! But it did end.
Our son slept in our room in a Baby Moses basket until he was about 4 or 5 months. Then we moved the Baby Moses basket IN in the crib! After 2 weeks of that, we placed him IN the crib. The transistion was VERY smooth!!! One thing to remember when placing your son directly in the crib, those sheets can feel cold and babies HATE to be cold. Try flannel crib sheets or find some other SAFE way to keep the sheets from being too cold when you place your son in his bed.
Best of luck and God Bless. Oh, my son is 2 now, and he is still the first grandson, niece/nephew in my family. The next "youngest" is 28!! Also, my husband and I were married for 11 years before being blessed with our beautiful son. He is wonderful. Enjoy your son!!